Free Printable Ch. 4: Congruent Triangles

1.

Classify this triangle by its angles and sides.

a)

Acute Isosceles

b)

Obtuse Isosceles

c)

Acute Scalene

d)

Obtuse Scalene

2.

If △ABC is an isosceles triangle, ∠B is the vertex angle, AB = 6x + 3, BC = 8x – 1, and AC = 10x – 10, find the value of x and the length of AC.

a)

x = 3.25; AC = 22.5

b)

x = 2; AC = 10

c)

x = 3; AC = 20

d)

x = 2; AC = 15

3.

Find the measures of the sides of △ABC with vertices A(1, 5), B(3, –2), and C(–3, 0). Classify the triangle by its sides.

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

Right

4.

Find the measure of angle 1 in the figure:

(a)

5.

Find the measure of angle 3 in the figure:

(a)

6.

Identify the congruent triangles in the figure

a)

$\Delta NKM\cong\Delta LMK$

b)

$\Delta MNK\cong\Delta MKL$

c)

$\Delta KNM\cong\Delta KLM$

d)

$\Delta KMN\cong\Delta KLM$

7.

If

\Delta JGO\cong\Delta RWI

, which angle corresponds to angle I?

a)

Angle O

b)

Angle G

c)

Angle R

d)

Angle J

8.

In the diagram,

\Delta ABC\cong\Delta DEF

. Find the value of y

(a)

9.

In the diagram

\Delta ABC\cong\Delta DEF

. Find the value of x

(a)

10.

In the figure 𝑄𝑅̅̅̅̅ ≅ 𝑆𝑅̅̅̅̅ and 𝑃𝑄̅̅̅̅ ≅ 𝑇𝑆̅̅̅̅.

Point R is the midpoint of 𝑃𝑇̅̅̅̅. Determine

which theorem or postulate can be used

to show that △QRP ≅ △SRT.

a)

ASA

b)

AAS

c)

SAS

d)

SSS

11.

If segment AK bisects angle ZKC, which of these can be used to prove the triangles congruent?

a)

Transitive Property -> ASA

b)

Reflexive Property -> AAS

c)

Reflexive Property -> SAS

d)

Symmetric Property -> SAS

12.

Find the measure of angle 1

(a)

13.

Find the measure of angle 2

(a)

14.

What type of transformation is shown?

a)

Reflection

b)

Translation

c)

Rotation

d)

None of these

15.

△ABC has vertices at: A(–1, 1), B(5, 1), and C(2, 6). Use the distance formula to determine what type of triangle it is.

a)

Equilateral

b)

Isosceles

c)

Scalene

Ch. 4: Congruent Triangles

Total questions: 15

Worksheet time: 55mins

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