If two angles of one triangle are congruent to two angles of another triangle, then what can be said about the two triangles?

The two triangles are parallel.

The two triangles are congruent.

The two triangles are perpendicular.

Can you provide an example of how the AA similarity theorem is used to solve a problem?

Identifying congruent angles in two triangles and using the proportionality of corresponding sides to solve for unknown measures.

Using the Pythagorean theorem to find the measures of the corresponding sides

Applying the Law of Sines to determine the unknown angles

Using the AA similarity theorem to find the area of the triangles

What are the practical applications of the AA similarity theorem?

The practical applications of the AA similarity theorem include solving problems in geometry, such as determining the similarity of two triangles and finding unknown side lengths or angles.

Calculating the area of a circle

Determining the boiling point of a substance

What is the significance of the AA similarity theorem in geometry?

The significance of the AA similarity theorem is that it provides a quick and easy way to determine if two triangles are similar without having to measure all their sides.

The AA similarity theorem is used to calculate the area of a triangle

The AA similarity theorem is only applicable to right-angled triangles

The AA similarity theorem is used to find the sum of the angles in a triangle

What are the conditions for the AA similarity theorem to be applicable?

Two angles of one triangle are congruent to two angles of another triangle.

The triangles have equal side lengths

The triangles have a common vertex

The triangles are both equilateral

How can the AA similarity theorem be used to prove two triangles similar?

We can use the AA similarity theorem to prove two triangles similar by showing that two angles of one triangle are congruent to two angles of the other triangle.

By proving that the two triangles have the same area

By demonstrating that the two triangles have the same perimeter

By showing that two sides of one triangle are congruent to two sides of the other triangle

Geometry Triangle Proportionality Theorem

10th Grade

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Geometry Triangle Proportionality Theorem

Quiz

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Mathematics

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10th Grade

•

Practice Problem

•

Hard

•

CCSS

HSG.SRT.B.4, HSG.CO.C.9, HSG.SRT.A.2

Standards-aligned

Anthony Clark

FREE Resource

20 questions

Show all answers

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve for x

23.1

47.1

8.5

Tags

CCSS.HSG.CO.C.9

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find x.

275

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find x.

54/7

56/3

21/2

Tags

CCSS.HSG.SRT.B.4

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the missing length indicated.

Tags

CCSS.HSG.SRT.B.4

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Choice (1)

Choice (2)

Choice (3)

Choice (4)

Tags

CCSS.HSG.CO.C.9

MATH RESPONSE QUESTION

1 min • 1 pt

Mathematical Equivalence

Tags

CCSS.HSG.SRT.B.4

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the value of x.

6.92

18.67

2.625

13.71

Tags

CCSS.HSG.CO.C.9

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Solve for x

Find x.

Find x.

Find the missing length indicated.

Find the value of x.

Solve for x

If two figures are similar, the corresponding sides are ______________.

Which triangles are similar to triangle A?

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