Congruent Figures Answers

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1
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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
2
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Rectangle ABCD is congruent to rectangle URST.

Question illustration
A
24 mm
B
48 mm
C
135 mm2
D
144 mm2
3

.

Question illustration
A
3.5 in.
B
5.3 in.
C
6.4 in.
D
7.8 in.
4

Quadrilaterals WXYZ and BADC are congruent. In addition, WX ≅ DC and XY ≅ BC.If AD = 4 cm and AB = 6 cm, what is the perimeter of WXYZ?

A
18 cm
B
20 cm
C
22 cm
D
24 cm
5

Quadrilateral ABCD is reflected over line segment y as shown, resulting in quadrilateral TURS.

Question illustration
A
4 in.
B
5 in.
C
7 in.
D
9 in.
6

Each trapezoid in the figure below is congruent to trapezoid ABDC.

Question illustration
A
28 cm
B
32 cm
C
36 cm
D
64 cm
7

Quadrilateral A B C D is rotated 145 degrees about point T to form quadrilateral A prime B prime C prime D prime.

Question illustration
A
ABCD ≅ A'B'C'D'
B
ABCD ≅ A'D'C'B'
C
CDAB ≅ A'D'C'B'
D
CDAB ≅ C'B'A'D'
8

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'
9

In the diagram, .

Question illustration
A
3 in.
B
7 in.
C
20 in.
D
24 in.
10

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

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