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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The vertices of triangle RST are R(–1,–2), S(2,–1), and T(4,2). If ΔJKL ∼ ΔRST and the length of KL is units , what is the length of JK?

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The vertices of ΔRST are R(–1,–1), S(–1,11) and T(4,11). Which could be the side lengths of a triangle that is similar but not congruent to ΔRST?

A
10, 12, and 13 units
B
5, 24, and 26 units
C
10, 24, and 26 units
D
5, 12, and 13 units
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According to the diagram, which are congruent? Check all that apply.

A
ΔABC and ΔDEF
B
ΔABC and ΔDFE
C
∠BAC ≅ ∠DEF
D
∠ACB ≅ ∠DEF
E
AB and DF
F
AC and DF
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(4,–1)
B
(3,–2)
C
(–2,4)
D
(4,–2)
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AB = 2AD
B
AD = 2AB
C
BC = 2DE
D
DE = 2BC
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(–1,4)
B
(4,–1)
C
(0,–1)
D
(–1,0)
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The vertices of ΔABC are A(1,–2), B(1,1), and C(5,–2). Which could be the side lengths of a triangle that is similar but not congruent to ΔABC?

A
3, 4, and 5 units
B
9, 12, and 15 units
C
6, 4, and 5 units
D
9, 12, and 5 units
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