Similarity in Right Triangles

Similarity in Right Triangles

by Deb Scott

​

​

​

​

​

​

Objective: Find and Use relationships in similar right triangles.

​

Multiple Select

What does it mean when triangles are similar?

More than one correct answer

• corresponding angles are congruent

• corresponding sides are congruent

• corresponding sides are proportional

• I have no clue

Multiple Choice

To find y, which method could we use?

• heartbeat

• boomerang

Multiple Select

What is a possible equation for solving for y?

more than one correct answer

• $$\frac{12}{y\ }=\frac{y}{4}$$

• $$\frac{12}{4}=\frac{y}{x}$$

• $$\frac{4}{y\ }=\frac{y}{12}$$

• $$\frac{x}{4\ }=\frac{12}{x}$$

• y = 48

Multiple Choice

Solve for y. Leave in simplest radical form

• $$\sqrt[]{48}$$  

• $$4\sqrt[]{3}$$  

• $$3\sqrt[]{4}$$  

Multiple Choice

To find x, which method would you use?

• heartbeat

• boomerang

Multiple Select

What is a possible equation for solving for x?

more than one correct answer

• $$\frac{4}{x\ }=\frac{x}{16}$$

• $$\frac{4}{x\ }=\frac{x}{12}$$

• $$\frac{16}{x\ }=\frac{x}{4}$$

• $$\frac{x}{4}=\frac{4}{y}$$

Multiple Choice

Solve for x.

Leave in simplest radical form

• 8

• 10

• 64

• $$4\sqrt[]{3}$$  

Multiple Choice

Find the missing length indicated.

• 60

• 100

• 80

• 20

Multiple Choice

Find the missing length indicated.

• 64

• 12

• 9

• 100

Multiple Choice

• 10
• 12
• 14
• 16

Multiple Choice

Solve for x

• 60
• 52
• 48
• 12

Multiple Choice

• A
• B
• C
• D

Geometric Mean is an average which indicates the central tendency or typical value of a set of numbers by using the product of their values (as opposed to the arithmetic mean which uses their sum).

Solve

Fill in the Blank

What is the Geometric Mean of 32 and 8?

Multiple Choice

What is the Geometric Mean between 6 and 30?

• $$6\sqrt{2}$$

• $$5\sqrt{2}$$

• $$6\sqrt{5}$$

Multiple Choice

What is the Geometric Mean between 10 and 20?

• $$10\sqrt{5}$$

• $$10\sqrt{2}$$

• $$10\sqrt{3}$$

Multiple Choice

Solve for x

Leave in simplest radical form

• 6

• $$6\sqrt[]{5}$$  

• $$3\sqrt[]{5}$$  

Multiple Choice

Solve for z

Leave in simplest radical form

• 6

• $$6\sqrt[]{5}$$  

• $$3\sqrt[]{5}$$  

Multiple Choice

Solve for y

Leave in simplest radical form

• 6

• $$6\sqrt[]{5}$$  

• $$3\sqrt[]{5}$$  

Fill in the Blank

What is the geometric mean of 4 and 25?