Congruent Figures Answers

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1
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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'
2
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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'
3

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
4

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.
5

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
6

.

Question illustration
A
3.5 in.
B
5.3 in.
C
6.4 in.
D
7.8 in.
7

Rectangle ABCD is congruent to rectangle URST.

Question illustration
A
24 mm
B
48 mm
C
135 mm2
D
144 mm2
8

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
9

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
10

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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