Title: chapter 6 free response
Course: quiz duplicate error

Find the values of the variables and the lengths of the sides of this rectangle. The diagram is not to scale.
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What type of quadrilateral has two pairs of parallel sides?

What type of quadrilateral has exactly one pair of parallel sides?

Isosceles trapezoid ABCD has legs [Image] and [Image] and base [Image] If AB = 5y – 2, BC = 4y – 7, and CD = 6y – 15, find the value of y.

Isosceles trapezoid ABCD has legs [Image] and [Image] and base [Image] If AB = 7y – 5, BC = 4y – 4, and CD = 8y – 20, find the value of y.

One side of a kite is 6 cm less than 3 times the length of another. The perimeter of the kite is 52 cm. Find the length of each side of the kite.

One side of a kite is 3 cm less than 3 times the length of another. The perimeter of the kite is 66 cm. Find the length of each side of the kite.

For parallelogram PQRS, find the values of x and y. Then find PT, TR , ST, and TQ. The diagram is not to scale.
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Complete this statement: For parallelogram ABCD, [Image]
Then state a definition or theorem that justifies your answer.
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For A(1, 3), B(0, 6), and C(6, 3), find all locations of a fourth point, D , so that a parallelogram is formed using A, B, C, D in any order as vertices. Plot each point D on a coordinate grid and draw the parallelogram.

For A(–2, 2), B(–1, 4), and C(3, 2), find all locations of a fourth point, D, so that a parallelogram is formed using A, B, C, D in any order as vertices. Plot each point D on a coordinate grid and draw the parallelogram.

Give the name that best describes the parallelogram and find the measures of the numbered angles. The diagram is not to scale.
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Judging by appearance, classify the figure in as many ways as possible using rectangle, trapezoid, square, quadrilateral, parallelogram, rhombus.
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Explain how you can determine, without measuring any angles, whether a quadrilateral is a rectangle.

Verify that quadrilateral ABCD with vertices A(–5, –1), B(–9, 6), C(–1, 5), and D(3, –2) is a rhombus by showing that it is a parallelogram with perpendicular diagonals.
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ABCD is a rhombus. Explain why [Image].
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Is the quadrilateral a parallelogram? Explain. The diagram is not to scale.
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Give a convincing argument that quadrilateral ABCD with A(–3, –5), B (1, 0), C(8, 0), and D(4, –5) is a parallelogram.

Two consecutive angles of a quadrilateral are right angles, but the quadrilateral is not a rectangle. Can the quadrilateral be a parallelogram? Explain.

All of the angles of a quadrilateral are congruent. Can the quadrilateral be a parallelogram? Explain.

Can this quadrilateral be a parallelogram? Explain.
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