AnswersCMS 2026-2027 NC Math 2 CREDIT RECOVERYTriangle Congruence: SSS and HL

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The diagram shows the sequence of three rigid transformations used to map triangle ABC onto triangle cap A double prime cap b double prime cap c double prime What is the sequence of the transformations?

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

Examine this figure. Which two pieces of information, if true, would help to prove that triangle LMP is congruent to triangle NMP by HL? Choose two correct answers.

A
Point cap p is the midpoint of line segment MK .
B
line segment PK is congruent to line segment PK
C
line segment ML is congruent to line segment MN
D
Line MK is the perpendicular bisector of line segment LN .
E
line segment ML is congruent to line segment MP
7

Which explains whether triangle FGH is congruent to triangle FJH ?

A
They are not congruent because only one pair of corresponding sides is congruent.
B
They are congruent because line segment GH is congruent to line segment GF , line segment JF is congruent to line segment JH , and line segment FH is congruent to line segment FH .
C
They are not congruent because only two pairs of corresponding sides are congruent.
D
They are congruent because opposite sides of a parallelogram are congruent.
9

The diagram shows the sequence of three rigid transformations used to map triangle ABC onto triangle cap A double prime cap b double prime cap c double prime What is the sequence of the transformations?

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

Which shows two triangles that are congruent by the SSS congruence theorem?

A
Image with description Triangles A B C and D E C are connected at point C. Angles A B C and C E D are right angles. The side lengths are A B and E D are congruent.
B
Image with description Triangles A B C and D E C are connected at point C. The lengths of sides A C and C E are congruent. Angles B A C and C E D are congruent.
C
Image with description Triangles A B C and D E C are connected at point C. The lengths of sides A B and D E are congruent. The lengths of sides B C and C D are congruent.
D
Image with description Triangles A B C and A D C share a common side A C. The side lengths of A B and A D are congruent. The side lengths of B C and D C are congruent.

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