Topics
8. Similarity
topic badge
United States of AmericaOH
Math 2

8.05 Proving triangles similar

Lesson
Practice

Interactive practice questions

This two-column proof shows that $\Delta ABC\sim\Delta XYZ$ΔABC~ΔXYZ in the attached diagram, but it is incomplete.

Statements Reasons
$\frac{AC}{XZ}=\frac{BC}{ZY}$ACXZ​=BCZY​ Given
$\angle ACB\cong\angle XZY$∠ACB≅∠XZY

Given

$\Delta ABC\sim\Delta XYZ$ΔABC~ΔXYZ

 $\left[\text{____}\right]$[____]
The given two triangles have one pair of corresponding angles that are congruent. The angle in vertex C of triangle(ABC), angle(ACB), corresponds to the angle in vertex Z of triangle(XYZ), angle(XZY).

Select the correct reason to complete the proof.

Angle-angle similarity (AA$\sim$~)

A

Side-angle-side similarity (SAS$\sim$~)

B

Side-side-side similarity (SSS$\sim$~)

C
Easy
< 1min

This two-column proof shows that two triangles in the attached diagram are similar, but it is incomplete.

Easy
< 1min

This two-column proof shows that two triangles in the attached diagram are similar, but it is incomplete.

Easy
< 1min

This two-column proof shows that two triangles in the attached diagram are similar, but it is incomplete.

Easy
< 1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account
Book a Demo
Sign up for free

Outcomes

G.SRT.5

Use congruence and similarity criteria for triangles to solve problems and to justify relationships in geometric figures that can be decomposed into triangles.

What is Mathspace

About Mathspace