Free Printable Congruent Figures

1.

Which statement is always true about two congruent polygons?

a)

Corresponding sides are always congruent.

b)

Corresponding angles are always right angles.

c)

Corresponding sides are always parallel.

d)

They are the same shape but different size.

2.

Which statement is always true about two congruent polygons?

a)

The number of angles & sides is always the same.

b)

Corresponding sides are always parallel.

c)

Corresponding angles are always right angles.

d)

They can be different sizes.

3.

∠A ≅

a)

∠M

b)

∠N

c)

∠L

4.

Remember order matters. Which of the following is true?

a)

∆FGH ≅ ∆VHW

b)

∆HFG ≅ ∆HWV

c)

∆HGF ≅ ∆VHW

d)

∆FGH ≅ ∆VWH

5.

In quadrilateral ABCD angle C corresponds with with angle in quadrilateral EFGH?

a)

angle E

b)

angle F

c)

angle G

d)

angle H

6.

Write a congruence statement for the triangles.

a)

$\Delta TUV\cong\Delta LJV$

b)

$\Delta TUV\cong\Delta JVL$

c)

$\Delta UTV\cong\Delta LVJ$

d)

$\Delta UTV\cong\Delta JVL$

7.

Write a congruence statement for the triangles.

a)

$\Delta IHG\cong\Delta QRP$

b)

$\Delta HIG\cong\Delta QPR$

c)

$\Delta IHG\cong\Delta RQP$

d)

$\Delta GHI\cong\Delta QPR$

8.

Write a congruence statement for the triangles.

a)

$\Delta LMK\cong\Delta YXZ$

b)

$\Delta LMK\cong\Delta ZYX$

c)

$\Delta MLK\cong\Delta ZYX$

d)

$\Delta MLK\cong\Delta XYZ$

9.

Trapezoid ABCD is congruent to trapezoid WXYZ. Identify the congruent angle for <B.

a)

W

b)

X

c)

Y

d)

Z

10.

Matching sides are called

a)

Corresponding Sides

b)

Corresponding Angles

c)

The Same

d)

Congruent Sides

11.

Matching angles are called

a)

Corresponding Sides

b)

Corresponding Angles

c)

The Same

d)

Congruent Angles

12.

$\overline{CB}\ \cong\ ?$

a)

$\angle I$

b)

$\overline{GI}$

c)

$\overline{IB}$

d)

$\overline{BG}$

13.

$\overline{LK}\ \cong\ ?$

a)

$\overline{JE}$

b)

$\overline{JF}$

c)

$\overline{EF}$

d)

$\overline{KJ}$

14.

m∠P=

a)

73

b)

48

c)

59

15.

x =

a)

87

b)

42

c)

17

d)

8

16.

If ∆PIG ≅ ∆COW, WO≅?∠P + ∠G =

a)

∠C + ∠W

b)

∠O + ∠W

c)

∠C + ∠O

17.

If ∆PIG ≅ ∆COW, WO≅?

a)

GI

b)

PI

c)

PG

18.

$\angle NLM\ \cong\ ?$

a)

$\angle DLC$

b)

$\angle D$

c)

$\angle N$

d)

$\angle C$

19.

Write a congruence statement for the triangles.

a)

$\Delta RQS\cong\Delta WRV$

b)

$\Delta QSR\cong\Delta VRW$

c)

$\Delta RQS\cong\Delta RVW$

d)

$\Delta SRQ\cong\Delta VWR$

20.

If ∆LMK ≅ ∆LMT, then
MK= ____

a)

LM

b)

K

c)

MT

d)

LT

21.

Which statement indicates that the triangles in each pair are congruent.

a)

∆LMK ≅ ∆LMT

b)

∆LMK ≅ ∆TMK

c)

∆LTKM ≅ ∆LMT

d)

∆TMK ≅ ∆TLK

22.

$If\ \Delta MPQ\cong\Delta ABC$ then which of the following are corresponding parts?

a)

$\overline{PQ}$ and $\overline{AB}$

b)

$\angle M\ and\ \angle P$

c)

$\angle M\ and\ \angle B$

d)

$\overline{QM\ }and\ \overline{CA}$

23.

What does it mean for figures to be congruent?

a)

The number of sides must be the same.

b)

The figure must be exactly the same shape and size.

c)

The figures must be turned all in one direction.

d)

The name of the shape must be the same but they can be different sizes.

24.

Which is NOT true of congruent shapes?

a)

They have the same area.

b)

They can face different directions.

c)

Their interior angles can be different.

d)

They can have different coordinates.

25.

1. Given the congruent polygons
DFGH ≅ QRST, If FG =12, DH = 15 and
m ∠ T = 110° then find the following…
QT = ___________ RS = ___________ and m∠ H = _______________

a)

QT = 15 RS = 12 and m∠ H =110°

b)

QT = 12 RS = 15 and m∠ H =110°

c)

QT = 15 RS = 12 and m∠ H =70°

d)

QT = 12 RS = 15 and m∠ H =70°

Congruent Figures

Total questions: 25

Worksheet time: 1hrs 15mins

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