AnswersGeometry - Semester 1 PathwaysTriangle Congruence: SSS and HL

Triangle Congruence: SSS and HL Answers

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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
3

The triangles are congruent by SSS or HL.

Question illustration
r
rotation, then reflection, then translation
r
rotation, then translation, then reflection
r
reflection, then translation, then rotation
r
reflection, then rotation, then translation
5

The triangles are congruent by the SSS congruence theorem.

Question illustration
r
reflection, then dilation
r
reflection, then translation
r
rotation, then translation
r
rotation, then reflection
6

The triangles are congruent by SSS or HL.

Question illustration
t
translation only
r
reflection only
r
rotation, then reflection
r
rotation, then translation
7

The triangles are congruent by SSS and HL.

Question illustration
r
reflection only
t
translation only
r
reflection, then translation
r
rotation, then translation
8

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
9

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
T
They are congruent because GH ≅ GF, JF ≅ JH, and FH ≅ FH.
T
They are congruent because opposite sides of a parallelogram are congruent.
T
They are not congruent because only one pair of corresponding sides is congruent.
T
They are not congruent because only two pairs of corresponding sides are congruent.
10

The triangles are congruent by the SSS congruence theorem.

Question illustration
r
reflection, then rotation
r
reflection, then translation
r
rotation, then translation
r
rotation, then dilation

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