SSAT Upper Level Math : How to find if right triangles are similar

Study concepts, example questions & explanations for SSAT Upper Level Math

varsity tutors app store varsity tutors android store

Example Questions

Example Question #6 : Properties Of Triangles

If a  right triangle is similar to a  right triangle, which of the other triangles must also be a similar triangle?

Possible Answers:

Correct answer:

Explanation:

For the triangles to be similar, the dimensions of all sides must have the same ratio by dividing the 3-4-5 triangle.

The 6-8-10 triangle will have a scale factor of 2 since all dimensions are doubled the original 3-4-5 triangle.

The only correct answer that will yield similar ratios is the   triangle with a scale factor of 4 from the 3-4-5 triangle.  

The other answers will yield different ratios.

Example Question #8 : Properties Of Triangles

What is the main difference between a right triangle and an isosceles triangle? 

Possible Answers:

A right triangle has to have a  angle and an isosceles triangle has to have equal, base angles. 

A right triangle has to have a  angle and an isosceles triangle has to have  equal, base angles. 

An isosceles triangle has to have a  angle and a right triangle has to have  equal, base angles. 

A right triangle has to have a  angle and an isosceles triangle has to have  equal, base angles. 

A right triangle has to have a  angle and an isosceles triangle has to have  equal, base angles. 

Correct answer:

A right triangle has to have a  angle and an isosceles triangle has to have  equal, base angles. 

Explanation:

By definition, a right triangle has to have one right angle, or a  angle, and an isosceles triangle has  equal base angles and two equal side lengths. 

Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: