Geometry Similar Triangle Theorems Quiz: 10 Questions with Explanations

Geometry math quiz: Similar Triangle Theorems – Maths PDF

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This similar triangles quiz for Geometry covers similar triangle theorems (Common Core G-SRT.B.4, G-SRT.B.5), with a free PDF to print.

Test your understanding of similar triangles with this 10-question multiple-choice quiz. Each question has one correct answer, and the explanation after it names the typical mistake behind the wrong choices. Take it after the lesson or before the test.

Geometry · Common Core State Standards: G-SRT.B.4, G-SRT.B.5

Similar triangles quiz: 10 questions

Question 1

DE is parallel to BC. AD = 3, DB = 6 and AE = 2. What is EC?

Question 2

Which test proves two triangles similar if two pairs of sides are proportional and the included angles are congruent?

Question 3

The altitude to the hypotenuse splits the hypotenuse into 4 and 25. What is the altitude?

Question 4

What is the geometric mean of 2 and 8?

Question 5

Triangles with sides 3, 4, 5 and 9, 12, 16 are

Question 6

DE is parallel to BC in triangle ABC with AD = 5 and AB = 15. If BC = 24, what is DE?

Question 7

In a right triangle the hypotenuse is 20 and a leg is 12. The altitude to the hypotenuse splits the hypotenuse into segments p and q, with p next to the 12 leg. What is p?

Question 8

Reflection method: two similar right triangles.

Using the mirror method, with eye height 6, a distance of 4 to the mirror, and 20 from the mirror to the wall, how tall is the wall?

Question 9

Three parallel lines cut a transversal into segments of 4 and 6. On another transversal the first segment is 10. How long is the second?

Question 10

Two similar triangles have a scale factor of 3 : 2. If the larger has area 90, what is the area of the smaller?

Remember

Triangle Proportionality: DE parallel to BC gives AD/DB = AE/EC.
Triangle similarity tests: AA, SAS~ and SSS~.
Altitude to the hypotenuse: h squared = p times q.
Leg relationship: a squared = p times c.
Similar triangles let you measure heights and widths indirectly.

How to use this similar triangles quiz

Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.

Download the similar triangles quiz as a PDF with the button below and keep it with your notes.

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