How to find if right triangles are similar

Practice Questions

Basic Geometry › How to find if right triangles are similar

Page 1 of 2

10 of 12

1

$\bigtriangleup ABC \sim \bigtriangleup DEF$ ; $\angle F$ is a right angle; $\overline{AB}=20$ ; $\overline{AC}=10$ ; $\overline{DE}=30$

Find $\overline{EF}$ .

2

Two triangles, $\Delta A$ and $\Delta B$ , are similar when:

3

$\Delta ABC$ and $\Delta DEF$ are triangles.

$m\angle B=90^{\circ}$

$m\angle E=90^{\circ}$

Triangles

Are $\Delta ABC$ and $\Delta DEF$ similar?

4

Are these triangles similar? If so, list the scale factor.

Sim right tri 1

5

Triangles

Refer to the above figure.

True, false, or inconclusive: $\bigtriangleup ADB \sim \bigtriangleup BDC$ .

6

Which of the following is sufficient to say that two right triangles are similar?

7

Given: $\bigtriangleup ABC$ and $\bigtriangleup DEF$ .

$\angle B$ and $\angle E$ are both right angles.

$\overline{AB} \cong \overline{BC}$

$\overline{DE} \cong \overline{EF}$

True or false: From the given information, it follows that $\bigtriangleup ABC \sim \bigtriangleup DEF$ .

8

$\Delta ABC$ and $\Delta DEF$ are similar triangles.

$m\angle A=30^{\circ}, m\angle B=90^{\circ}, m\angle C=60^{\circ}$

$\overline{AB}=\sqrt{3}, \overline{BC}=1, \overline{AC}=2$

$m\angle D=30^{\circ}, m\angle E=90^{\circ}, m\angle F=60^{\circ}$

$\overline{EF}=2$

Triangles_2

What is the length of $\overline{DE}$ ?

9

Triangles 3

Refer to the above diagram.

True or false: $\bigtriangleup AOB \sim \bigtriangleup COD$

10

Are these right triangles similar? If so, state the scale factor.

Sim right tri 2

Page 1 of 2

Return to subject