Similar Triangles Quiz

Similar Triangles Quiz is a quick way to explore how geometry quietly shapes the world around us. In 250 BC, the Greek mathematician Thales used triangle similarity to measure the height of the pyramids in Egypt, just by using the length of shadows. He waited until his own shadow was equal to his height and then measured the pyramid’s shadow at that moment. This clever use of similar triangles shows how geometry was already solving real-world problems long before calculators or formulas existed. This quiz brings you similar triangles questions that help you understand these concepts in a simple, engaging way. Take this triangle similarity test and see how much you’ve absorbed from one of geometry’s most elegant ideas.

Similar Triangles

What is the minimum number of angle pairs needed to prove two triangles similar using the AA criterion?

Two triangles have sides in the ratio 3:4. If a side in the smaller triangle is 6 cm, the corresponding side in the larger triangle is?

12 cm

9 cm

8 cm

10 cm

In similar triangles, which of the following is always true?

Their areas are equal

Their corresponding angles are equal

Their sides are equal

Their heights are equal

If the ratio of two corresponding sides of similar triangles is 5:2, then the ratio of their perimeters is:

10:4

25:4

7:2

5:2

Which method is not used to prove triangles similar?

AA (Angle-Angle)

SSA (Side-Side-Angle)

SAS (Side-Angle-Side)

SSS (Side-Side-Side)

If triangle XYZ ~ triangle ABC and angle X = 50º, angle Y = 60º, what is angle A?

50º

70º

60º

40º

What is true of the corresponding angles in similar triangles?

They are supplementary

They are unequal

They are congruent

They are opposite angles

What happens to the area of a triangle if all sides are doubled and the triangles remain similar?

Area becomes 2 times

Area becomes 3 times

Area stays the same

Area becomes 4 times

In similar triangles, the ratio of the areas is equal to the square of the ratio of their:

Sides

Altitudes

Perimeters

Angles

In the figure if DE||BC then solve for x:

Your score is

The average score is 33%

Sample Questions from This Quiz

What is the minimum number of angle pairs needed to prove two triangles similar using the AA criterion?
Two triangles have sides in the ratio 3:4. If a side in the smaller triangle is 6 cm, the corresponding side in the larger triangle is?
If the ratio of two corresponding sides of similar triangles is 5:2, then the ratio of their perimeters is:
If triangle XYZ ~ triangle ABC and angle X = 50º, angle Y = 60º, what is angle A?
What happens to the area of a triangle if all sides are doubled and the triangles remain similar?

Try the full quiz and see how many of these you can answer!