Congruent Figures Answers

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1
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Each trapezoid in the figure below is congruent to trapezoid ABDC.

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A
28 cm
B
32 cm
C
36 cm
D
64 cm
2
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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'
3

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
4

The figure was created by repeatedly reflecting triangle NMP.

Question illustration
A
36 in.
B
42 in.
C
44 in.
D
48 in.
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

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
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 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
9

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
10

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
11

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