Title: triangle segments/relationships
Course: quiz duplicate error

Q: Lines s, t,and u are perpendicular bisectors of [Image] and meet at J. If [Image], [Image], [Image] and [Image], find x, y,and z.
[Image]
- x = 3, y = 1, z = 6 (If s, t, and u are perpendicular bisectors, the lines coming from their circumcenter to the vertices are of equal length. Set the segments equal to each other and solve for x and y. By definition of a perpendicular bisector, [Image] so set them equal to each other and solve.)
- x = 5, y = 1, z = 2 (If s, t, and u are perpendicular bisectors, the lines coming from their circumcenter to the vertices are of equal length. Set the segments equal to each other and solve for x and y. By definition of a perpendicular bisector, [Image] so set them equal to each other and solve.)
- x = 1, y = 3, z = 6 (If s, t, and u are perpendicular bisectors, the lines coming from their circumcenter to the vertices are of equal length. Set the segments equal to each other and solve for x and y. By definition of a perpendicular bisector, [Image] so set them equal to each other and solve.)
- x = 0, y = 4, z = 2 (If s, t, and u are perpendicular bisectors, the lines coming from their circumcenter to the vertices are of equal length. Set the segments equal to each other and solve for x and y. By definition of a perpendicular bisector, [Image] so set them equal to each other and solve.)
A: x = 1, y = 3, z = 6

Q: [Image]is an angle bisector. [Image], [Image], and [Image]. Find [Image]. Is [Image]?
[Image]
- 63; No (If RU is an angle bisector, the two angles of vertex R are equal. Also, the measures of the angles of every triangle add up to 180.)
- 65; No (If RU is an angle bisector, the two angles of vertex R are equal. Also, the measures of the angles of every triangle add up to 180.)
- 60; Yes (If RU is an angle bisector, the two angles of vertex R are equal. Also, the measures of the angles of every triangle add up to 180.)
- 29; No (If RU is an angle bisector, the two angles of vertex R are equal. Also, the measures of the angles of every triangle add up to 180.)
A: 63; No

Q: [Image]is an angle bisector. [Image], [Image], and [Image]. Find [Image].
[Image]
- 40 (If [Image] is an angle bisector, the two angles of vertex X are equal. Also, the measures of the angles of every triangle add up to 180.)
- 35 (If [Image] is an angle bisector, the two angles of vertex X are equal. Also, the measures of the angles of every triangle add up to 180.)
- 38 (If [Image] is an angle bisector, the two angles of vertex X are equal. Also, the measures of the angles of every triangle add up to 180.)
- 30 (If [Image] is an angle bisector, the two angles of vertex X are equal. Also, the measures of the angles of every triangle add up to 180.)
A: 38

Q: [Image]is an altitude. [Image], [Image]. Find [Image].
[Image]
- 34 (If [Image] is an altitude, [Image]. Also, the measures of the angles of every triangle add up to 180.)
- 32 (If [Image] is an altitude, [Image]. Also, the measures of the angles of every triangle add up to 180.)
- 18 (If [Image] is an altitude, [Image]. Also, the measures of the angles of every triangle add up to 180.)
- 31 (If [Image] is an altitude, [Image]. Also, the measures of the angles of every triangle add up to 180.)
A: 34

Q: [Image]is an angle bisector. [Image], [Image], [Image]. Find [Image]. Is [Image] an altitude?
[Image]
- 45; Yes (The measures of the angles of every triangle add up to 180. If [Image] is an altitude, [Image].)
- 48; No (The measures of the angles of every triangle add up to 180. If [Image] is an altitude, [Image].)
- 32; No (The measures of the angles of every triangle add up to 180. If [Image] is an altitude, [Image].)
- 52; No (The measures of the angles of every triangle add up to 180. If [Image] is an altitude, [Image].)
A: 48; No

Q: Which segment is the shortest possible distance from point D to plane P?
[Image]
- [Image] (The shortest possible distance from point D to plane P is a straight line perpendicular to plane P through point D.)
- [Image] (The shortest possible distance from point D to plane P is a straight line perpendicular to plane P through point D.)
- [Image] (The shortest possible distance from point D to plane P is a straight line perpendicular to plane P through point D.)
- [Image] (The shortest possible distance from point D to plane P is a straight line perpendicular to plane P through point D.)
A: [Image]

Q: [Image] is an altitude. Angle ZXC= 6x and angle XZC=3x. Solve for x.
[Image]
- 10 (If [Image] is an altitude, [Image]. Also, the measures of the angles of every triangle add up to 180.)
- 15 (If [Image] is an altitude, [Image]. Also, the measures of the angles of every triangle add up to 180.)
- 5 (If [Image] is an altitude, [Image]. Also, the measures of the angles of every triangle add up to 180.)
- 23 (If [Image] is an altitude, [Image]. Also, the measures of the angles of every triangle add up to 180.)
A: 10