AnswersMISD-Geometry-RECOVERY-A-2019-2020Triangle Congruence: SSS and HL

Triangle Congruence: SSS and HL — Unit test Answers

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1
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Which statements are true? Select two options.

A
∠R corresponds to ∠P'QQ'.
B
∠PQR corresponds to ∠QPQ'.
C
Segment QQ' is parallel to segment PP'.
D
Side RQ corresponds to side QQ'.
E
△PQR ≅ △P'Q'Q
3

Two similar triangles are shown.

Question illustration
A
translated
B
reflected
C
dilated
D
rotated
4

Quadrilateral FGHJ is dilated according to the ruleDO,(x,y) to create the image quadrilateral F'G'H'J', which is not shown.

Question illustration
A
(-2,-4)
B
(-2,-6)
C
(Negative nine-halves, negative 4)
Option C
D
(Negative nine-halves, negative 9)
Option D
5

Point Z is the circumcenter of ΔTUV.

Question illustration
A
23.7°
B
32.8°
C
33.5°
D
57.2°
6

The statements below can be used to prove that the triangles are similar. ? △ABC ~ △XYZ by the SSS similarity theorem.Which mathematical statement is missing?

Question illustration
A
StartFraction Y Z Over B C = StartFraction 6 Over 3 EndFraction
Option A
B
∠B ≅ ∠Y
C
StartFraction B C Over Y Z EndFraction = StartFraction 6 Over 3 EndFraction
Option C
D
∠B ≅ ∠Z
7

is the angle bisector of YEX and the perpendicular bisector of . is the angle bisector of YGZ and the perpendicular bisector of . is the angle bisector of ZFX and the perpendicular bisector of . Point A is the intersection of , , and .

Question illustration
A
Point A is the center of the circle that passes through points E, F, and G but is not the center of the circle that passes through points X, Y, and Z.
B
Point A is the center of the circle that passes through points X, Y, and Z but is not the center of the circle that passes through points E, F, and G.
C
Point A is the center of the circle that passes through points E, F, and G and the center of the circle that passes through points X, Y, and Z.
D
Point A is not necessarily the center of the circle that passes through points E, F, and G or the center of the circle that passes through points X, Y, and Z.
8

Read the proof.Given: m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100°Prove: △HKJ ~ △LNP

Question illustration
A
CPCTC
B
definition of supplementary angles
C
triangle parts relationship theorem
D
triangle angle sum theorem
10

Which best explains whether or not all isosceles triangles are similar?

A
All isosceles triangles are similar. Two angles within each triangle are always congruent.
B
All isosceles triangles are similar. The triangle sum theorem states that the sum of the angles in a triangle is 180°. Therefore, the third angle can always be determined.
C
All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.
D
All isosceles triangles are not similar. Given only the vertex angle of an isosceles triangle, there is not enough information to determine the measures of the base angles. Therefore, it is not possible to determine if the base angles of one isosceles triangle are congruent to the base angles of another.
11

In the diagram, .

Question illustration
A
WV and XY
B
WV and ZY
C
∠VZW ≅ ∠YZX
D
∠VWZ ≅ ∠YXZ
12

Triangle QRS is to be dilated using the rule .

Question illustration
A
2 units
B
4 units
C
6 units
D
8 units
14

△ABC is an isosceles triangle with legs AB and AC. △AYX is also an isosceles triangle with legs AY and AX.

Question illustration
A
∠A ≅ ∠A; reflexive property
B
∠X ≅ ∠X; reflexive property
C
∠ABC ≅ ∠AYX; corresponding angles of similar triangles
D
∠ABC ≅ ∠AXY; corresponding angles of similar triangles
15

Point Z is equidistant from the vertices of ΔTUV.

Question illustration
A
Line segment T A is-congruent-to line segment T B
Option A
B
Line segment A Z is-congruent-to line segment B Z
Option B
C
BTZ BUZ
Option C
D
TZA TZB
Option D

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