Free Printable HW 2-3

1.

Using the equilateral triangle above, what is the value of x?

a)

$x=\frac{1}{2}$

b)

$x=\frac{5}{6}$

c)

$x=\frac{7}{2}$

d)

$x=\frac{7}{5}$

2.

Using the equilateral triangle above, what is the length of each side of the triangle?

a)

15 ft

b)

18 ft

c)

21 ft

d)

11 ft

3.

Using the equilateral triangle above, what is the measure of each of the angles of the triangle?

a)

$45\degree$

b)

$60\degree$

c)

$90\degree$

d)

$180\degree$

4.

Since $\Delta DEF$ is an isosceles triangle with base segment DF, what is the value of x?

a)

$x=0$

b)

$x=\frac{10}{3}$

c)

$x=2$

d)

$x=5$

5.

What is the length of each leg?

a)

27 in

b)

22 in

c)

17 in

d)

13 in

6.

What is the length of DF?

a)

13 in

b)

17 in

c)

22 in

d)

27 in

7.

What is the sum of the interior angles of a triangle?

a)

$45\degree$

b)

$90\degree$

c)

$180\degree$

d)

$360\degree$

8.

What is the value of x in the triangle above?

a)

$x=7$

b)

$x=5$

c)

$x=4$

d)

$x=6$

9.

Using the figure of the athlete pole vaulting above, what is x, the measure of the angle that the pole makes when it first touched the ground?

a)

$23\degree$

b)

$32\degree$

c)

$42\degree$

d)

$58\degree$

10.

Using the figure of the athlete pole vaulting above, at takeoff $\alpha\degree=23\degree.$ What is c, the measure of the angle the pole makes with the athlete's body?

a)

$23\degree$

b)

$67\degree$

c)

$113\degree$

d)

$180\degree$

11.

Given that $\Delta ABG\cong\Delta BCH\cong\Delta HGB$ , which of the following statements of congruence are true? CHOOSE ALL THAT APPLY.

a)

$\overline{AG}\cong\overline{HB}$

b)

$\angle BCH\cong\angle BGA$

c)

$\overline{CB}\cong\overline{GB}$

d)

$\angle GBH\cong\angle BHC$

12.

$\Delta MNP\cong\Delta QRS$ in the diagram above. What is the $m\angle PMN$ ?

a)

$43\degree$

b)

$33\degree$

c)

$53\degree$

d)

$63\degree$

13.

Choose a justification to complete the red #13 reason of the proof.

a)

Definition of congruence

b)

Vertical Angles Theorem

c)

Angle Addition Postulate

d)

Symmetric Property of Equality

e)

Given

14.

Choose a justification to complete the red #14 reason of the proof.

a)

Definition of congruence

b)

Vertical Angles Theorem

c)

Angle Addition Postulate

d)

Symmetric Property of Equality

e)

Given

15.

Choose a justification to complete the red #15 reason of the proof.

a)

Definition of congruence

b)

Vertical Angles Theorem

c)

Angle Addition Postulate

d)

Symmetric Property of Equality

e)

Given

HW 2-3

Total questions: 15

Worksheet time: 4hrs 45mins

Similar Resources on Wayground