Congruent Figures Answers

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1
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The figure was created by repeatedly reflecting triangle NMP.

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

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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

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.
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

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
6

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
7

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
8

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
9

Three figures exist such that ABCD ≅ GHIJ and BCDA ≅ RSTU.If GH = 6 cm, HI = 8 cm, IJ = 10 cm, and GJ = 9 cm, what is TS?

A
6 cm
B
8 cm
C
9 cm
D
10 cm
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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