AnswersGCSS_GA-Geometry Concepts and Connections_ICUnit Test

Triangle Congruence: SSS and HL Answers

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The triangles are congruent by SSS or HL.

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A
translation only
B
reflection only
C
rotation, then reflection
D
rotation, then translation
5

The triangles shown are congruent by the SSS congruence theorem.

Question illustration
A
rotation, then reflection, then translation
B
rotation, then translation, then reflection
C
translation, then reflection, then rotation
D
translation, then rotation, then reflection
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2
B
3
C
4
D
7
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Examine this figure. Which two pieces of information, if true, would help to prove that ΔLMP ≅ ΔNMP by HL? Select two options.

A
Point P is the midpoint of MK.
B
Line MK is the perpendicular bisector of LN.
C
ML ≅ MP
D
ML ≅ MN
E
PK ≅ PK
8

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9

The triangles are congruent by SSS or HL.

Question illustration
A
rotation, then reflection, then translation
B
rotation, then translation, then reflection
C
reflection, then translation, then rotation
D
reflection, then rotation, then translation
10

Point H is the midpoint of side FK.

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1
B
3
C
6
D
8
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Triangles S U V and R U W are connected at point U. Angles S U V and W U T are right angles. The length of hypotenuse S V is 2 x + 9 and the length of hypotenuse W T is 4 x minus 1. Sides V U and U W are congruent.

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B
3
C
4
D
5
12

The triangles are congruent by the SSS congruence theorem.

Question illustration
A
rotation only
B
reflection only
C
translation, then rotation
D
translation, then reflection
13

Triangles F G H and F J H share common side F H. Sides F G and G H are congruent. Sides F J and J H are congruent.

Question illustration
A
They are congruent because GH ≅ GF, JF ≅ JH, and FH ≅ FH.
B
They are congruent because opposite sides of a parallelogram are congruent.
C
They are not congruent because only one pair of corresponding sides is congruent.
D
They are not congruent because only two pairs of corresponding sides are congruent.
14

The triangles are congruent by the SSS congruence theorem.

Question illustration
A
reflection, then dilation
B
reflection, then translation
C
rotation, then translation
D
rotation, then reflection

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