AnswersPARTA - EOP PGCPS GEOMETRY OC FALL2026 - 793413Congruent and Similar Triangles in the Coordinate Plane

Congruent and Similar Triangles in the Coordinate Plane Answers

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1
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Which of the following are congruent? Select four correct answers.

A
ΔSTV and ΔUTV
B
ST and TV
C
∠STV and ∠SVT
D
UV and SV
E
∠U and ∠S
F
∠TVU and ∠SVT
2
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Which are the coordinates of the vertices of a triangle congruent to ΔPQR?

A
(0,5), (2,10), (0,10)
B
(9,−3), (9,0), (4,0)
C
(4,3), (−4,8), (−4,3)
D
(2.5,−4), (0,0), (0,−4)
3

Which statements are true? Check all that apply.The corresponding sides of similar triangles have proportional lengths.The corresponding sides of congruent triangles have the same lengths.The corresponding angles of similar triangles have different measures.If corresponding sides of two triangles are not the same length, the triangles are not similar.If corresponding sides of two triangles are not the same length, the triangles are not congruent.

A
The corresponding sides of similar triangles have proportional lengths.
B
The corresponding sides of congruent triangles have the same lengths.
C
The corresponding angles of similar triangles have different measures.
D
If corresponding sides of two triangles are not the same length, the triangles are not similar.
E
If corresponding sides of two triangles are not the same length, the triangles are not congruent.
5

What additional information is needed to prove that using the SAS congruence theorem?

Question illustration
A
the measure of ∠C and ∠D
B
the side lengths of AC and DF
C
the measure of ∠F and ∠A
D
the side lengths of AB and DB
6

What can be concluded about triangles RST and VTU?

A
The triangles are congruent and similar with a proportional relationship of 1.
B
The triangles are congruent but not similar.
C
The triangles are similar but not congruent.
D
There is not enough information to determine if the triangles are congruent or similar.

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