Title: coordinate plane/triangles
Course: quiz duplicate error

Q: Determine whether [Image] given the coordinates of the vertices. Explain.

[Image]
- Yes; two sides of triangle PQR and angle PQR are the same measure as the corresponding sides and angle of triangle STU. (If each side of triangle PQR is the same length as the corresponding side of triangle STU, then the triangles are congruent.)
- Yes; each side of triangle PQR is the same length as the corresponding side of triangle STU. (If each side of triangle PQR is the same length as the corresponding side of triangle STU, then the triangles are congruent.)
- No; one of the triangles is obtuse. (If each side of triangle PQR is the same length as the corresponding side of triangle STU, then the triangles are congruent.)
- No; each side of triangle PQR is not the same length as the corresponding side of triangle STU. (If each side of triangle PQR is the same length as the corresponding side of triangle STU, then the triangles are congruent.)
A: No; each side of triangle PQR is not the same length as the corresponding side of triangle STU.

Q: Determine whether [Image] given the coordinates of the vertices. Explain.

[Image]
- Yes; each side of triangle PQR is the same length as the corresponding side of triangle STU. (If each side of triangle PQR is the same length as the corresponding side of triangle STU, then the triangles are congruent.)
- No; each side of triangle PQR is not the same length as the corresponding side of triangle STU. (If each side of triangle PQR is the same length as the corresponding side of triangle STU, then the triangles are congruent.)
- No; two sides of triangle PQR and angle PQR are not the same measure as the corresponding sides and angle of triangle STU. (If each side of triangle PQR is the same length as the corresponding side of triangle STU, then the triangles are congruent.)
- Yes; both triangles have three sides. (If each side of triangle PQR is the same length as the corresponding side of triangle STU, then the triangles are congruent.)
A: Yes; each side of triangle PQR is the same length as the corresponding side of triangle STU.

Q: Determine whether [Image] given the coordinates of the vertices. Explain.

[Image]
- No; each side of triangle PQR is not the same length as the corresponding side of triangle STU. (If each side of triangle PQR is the same length as the corresponding side of triangle STU, then the triangles are congruent.)
- Yes; each side of triangle PQR is the same length as the corresponding side of triangle STU. (If each side of triangle PQR is the same length as the corresponding side of triangle STU, then the triangles are congruent.)
- No; two sides of triangle PQR and angle PQR are not the same measure as the corresponding sides and angle of triangle STU. (If each side of triangle PQR is the same length as the corresponding side of triangle STU, then the triangles are congruent.)
- Yes; both triangles have an obtuse angle. (If each side of triangle PQR is the same length as the corresponding side of triangle STU, then the triangles are congruent.)
A: Yes; each side of triangle PQR is the same length as the corresponding side of triangle STU.

Q: Determine whether [Image] given the coordinates of the vertices. Explain.

[Image]
- Yes; both triangles have three acute angles. (If each side of triangle PQR is the same length as the corresponding side of triangle STU, then the triangles are congruent.)
- No; each side of triangle PQR is not the same length as the corresponding side of triangle STU. (If each side of triangle PQR is the same length as the corresponding side of triangle STU, then the triangles are congruent.)
- No; two sides of triangle PQR and angle PQR are not the same measure as the corresponding sides and angle of triangle STU. (If each side of triangle PQR is the same length as the corresponding side of triangle STU, then the triangles are congruent.)
- Yes; each side of triangle PQR is the same length as the corresponding side of triangle STU. (If each side of triangle PQR is the same length as the corresponding side of triangle STU, then the triangles are congruent.)
A: Yes; each side of triangle PQR is the same length as the corresponding side of triangle STU.

Q: Determine whether [Image] given the coordinates of the vertices. Explain.

[Image]
- Yes; each side of triangle PQR is the same length as the corresponding side of triangle STU. (If each side of triangle PQR is the same length as the corresponding side of triangle STU, then the triangles are congruent.)
- No; each side of triangle PQR is not the same length as the corresponding side of triangle STU. (If each side of triangle PQR is the same length as the corresponding side of triangle STU, then the triangles are congruent.)
- No; neither side has a right angle. (If each side of triangle PQR is the same length as the corresponding side of triangle STU, then the triangles are congruent.)
- Yes; two sides of triangle PQR and angle PQR are the same measure as the corresponding sides and angle of triangle STU. (If each side of triangle PQR is the same length as the corresponding side of triangle STU, then the triangles are congruent.)
A: No; each side of triangle PQR is not the same length as the corresponding side of triangle STU.

Q: Position and label the triangle on the coordinate plane.

right [Image] with non-hypotenuse side [Image] twice as long as non-hypotenuse side [Image]. [Image] is a units long
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
A: [Image]

Q: Position and label the triangle on the coordinate plane.

isosceles triangle [Image] with [Image] twice the length of the base and bisecting the base
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
A: [Image]

Q: Position and label the triangle on the coordinate plane.

equilateral triangle [Image] with height c units and base [Image] 2d units
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
A: [Image]

Q: Position and label the triangle on the coordinate plane.

right isosceles [Image] with congruent sides [Image] and [Image]a units long
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
A: [Image]

Q: Position and label the triangle on the coordinate plane.

isosceles triangle [Image] with [Image] half the length of the base and bisecting the base
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
A: [Image]

Q: Position and label the triangle on the coordinate plane.

equilateral [Image] with height a units and one-half base [Image]b units
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
A: [Image]

Q: Position and label the triangle on the coordinate plane.

right triangle [Image] with hypotenuse [Image], leg [Image] 4a units long, and leg [Image] one-fourth the other leg
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
A: [Image]

Q: Position and label the triangle on the coordinate plane.

one-half equilateral triangle with [Image] bisecting the triangle at height a units and base [Image] 2b units
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
A: [Image]

Q: Position and label the triangle on the coordinate plane.

isosceles [Image] with base [Image] 2b units long
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
A: [Image]

Q: Position and label the triangle on the coordinate plane.

right triangle [Image] with hypotenuse [Image] 5a units and base [Image] 3a units
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
- [Image] (1. Use the origin as a vertex or center of the figure. 2. Place at least one side of a polygon on an axis. 3. Keep the figure within the first quadrant if possible. 4. Use coordinates that make computations as simple as possible.)
A: [Image]