Similarity: Introduction

Warm-Up Icon Unit Warm-Up

In this unit, we will use previously learned algebra and geometry skills.  Let’s review just a few important ones before beginning.

Think & Click Icon Think & Click: Unit Warm-Up

Complete the Think & Click activity by looking at each problem below, thinking about it, and then clicking on the question to reveal the solution.

If segment AB has length 5x – 7 and segment XY has length 3x + 11, what value of x would make the segments congruent?
 

5x – 7 = 3x + 11
5x = 3x + 18
2x = 18
x = 9
 

What is the length of segment AB and XY?
 

AB = 5(9) – 7 = 45 – 7 = 38
XY = 3(9) + 11 = 27 + 11 = 38
 

Name three fractions that are equivalent to five-sixth.
 

Many answers are possible: ten-twelfths, fifty-sixtieths, 5x over 6xare three possible answers.
 

If two angles in a triangle are 46° and 72°, what is the measure of the third angle?
 

180 – 46 – 72 = 62°
 


Next: Section A arrow-next