Congruent Figures Answers

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Triangle C D E is translated down and to the right to form triangle C prime D prime E prime.

Question illustration
A
ΔDCE ≅ ΔD'E'C'
B
ΔDCE ≅ ΔD'C'E'
C
ΔEDC ≅ ΔC'D'E'
D
ΔEDC ≅ ΔC'E'D'
5

In the diagram, .

Question illustration
3
3 in.
7
7 in.
2
20 in.
2
24 in.
8

Triangle ABC is congruent to triangle XYZ. In ΔABC, AB = 12 cm and AC = 14 cm. In △XYZ, YZ = 10 cm and XZ = 14 cm.What is the perimeter of ΔABC?

A
36 cm
B
38 cm
C
40 cm
D
50 cm
9

.

Question illustration
A
3.5 in.
B
5.3 in.
C
6.4 in.
D
7.8 in.
11

Triangle TRS is rotated about point X, resulting in triangle BAC.

Question illustration
A
10 ft
B
14 ft
C
20 ft
D
24 ft
12

Triangle G H J is rotated 90 degrees about point X to form triangle S T R.

Question illustration
A
TR ≅ GJ
B
∠S ≅ ∠H
C
TS ≅ HG
D
∠R ≅ ∠G
13

On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 4, 4), (negative 4, 1), and (0, 1). Triangle W R S has points (0, negative 1), (1.75, 1.5), (5, negative 1).

Question illustration
A
10 units
B
11 units
C
12 units
D
13 units
16

On a coordinate plane, 2 triangles are shown. Triangle D E F has points (6, 4), (5, 8) and (1, 2). Triangle R S U has points (negative 2, 4), (negative 3, 0), and (2, negative 2).

Question illustration
A
ΔDEF ≅ ΔSUR
B
ΔDEF ≅ ΔSRU
C
ΔDEF ≅ ΔRSU
D
ΔDEF ≅ ΔRUS
18

.

Question illustration
A
3.5 in.
B
5.3 in.
C
6.4 in.
D
7.8 in.
19

In the diagram, .

Question illustration
A
3 in.
B
7 in.
C
20 in.
D
24 in.
20

Triangle X Y Z is translated up 2 and right 3 units to form triangle C A B.

Question illustration
A
∠X ≅ ∠A
B
ZX ≅ CA
C
YZ ≅ AB
D
∠Z ≅ ∠C

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