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Lesson: Identifying Similar Triangles

In this lesson, we will learn how to identify similar triangles.

Sample Question Videos

03:05

Worksheet • 21 Questions • 1 Video

Q1:

In the given figure, 𝐴 𝐡 and 𝐷 𝐸 are parallel. Using the 𝐴 𝐴 criterion, what can we say about triangles 𝐴 𝐡 𝐢 and 𝐷 𝐸 𝐢 ?

  • A They are similar.
  • BThey are isosceles triangles.
  • C They are congruent.
  • D They are equilateral triangles.
  • E They are neither similar nor congruent.

Q2:

In the given figure, triangles 𝐢 𝐷 𝐸 and 𝐢 𝐡 𝐴 are similar. What must be true of 𝐷 𝐸 and 𝐡 𝐴 ?

  • A 𝐷 𝐸 βˆ₯ 𝐴 𝐡
  • B 𝐷 𝐸 = 1 3 𝐴 𝐡
  • C 𝐷 𝐸 = 1 2 𝐴 𝐡
  • D 𝐷 𝐸 βŸ‚ 𝐴 𝐡
  • E 𝐷 𝐸 = 2 𝐴 𝐡

Q3:

The figure shows two triangles.

Are the two triangles similar?

  • Ano
  • Byes

Why?

  • AThe triangles do not share the same angles and, hence, are not similar.
  • BIf you calculate the measure of the third angle in one of the triangles, you can see that the triangles share two angles; therefore, by the 𝐴 𝐴 criteria, the triangles are similar.
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