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Triangle Similarity Theorems and Postulates

Authored by Josephine Bly

Mathematics

10th Grade

CCSS covered

Used 16+ times

Triangle Similarity Theorems and Postulates
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20 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary condition for two triangles to be considered similar according to the Angle-Angle Similarity Theorem?

They must have the same area.

They must be right triangles.

They must have two angles of the same measure.

They must have identical side lengths.

Tags

CCSS.HSG.SRT.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many angles need to match in measure for two triangles to be similar by the Angle-Angle Similarity Theorem?

Four

One

Two

Three

Tags

CCSS.HSG.SRT.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If two angles in a triangle are 90 and 20 degrees, what is the measure of the third angle?

50 degrees

60 degrees

70 degrees

40 degrees

Tags

CCSS.8.G.A.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why does knowing two angles of a triangle allow you to determine the third angle?

Because the sum of angles in a triangle is always 180 degrees.

Because the sum of angles in a triangle is variable.

Because the sum of angles in a triangle is always 200 degrees.

Because the sum of angles in a triangle is always 90 degrees.

Tags

CCSS.8.G.A.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do if you want a more detailed explanation of the Angle-Angle Similarity Theorem?

Watch the long form video linked in the description.

Consult a mathematics textbook.

Ignore the details and move on.

Ask a mathematics teacher.

Tags

CCSS.HSG.SRT.B.5

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

What similarity theorem would prove that these triangles are similar?

SAS∼
SSS∼
AA∼
Side Splitter

Tags

CCSS.HSG.SRT.B.5

7.

MULTIPLE SELECT QUESTION

1 min • 2 pts

Media Image

Mark the angle pairs which are congruent due to the presence of transversal HK which would help prove that triangles RXH and KXN are congruent.

∠RXK ≅ ∠HXN

∠RHX ≅ ∠NKX

∠CRN ≅ ∠TNC

∠RHX ≅ ∠KXN

Tags

CCSS.HSG.SRT.B.5

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