What are the conditions for two triangles to be similar according to the SSS Similarity Theorem?

The conditions for two triangles to be similar according to the SSS Similarity Theorem are that the corresponding sides of the triangles are in the same proportion.

The triangles must have the same area

The triangles must have the same perimeter

The triangles must have the same interior angles

If two triangles satisfy the SSS Similarity Theorem, what can you say about their corresponding sides?

Their corresponding sides are in proportion to each other.

Their corresponding sides are congruent

Their corresponding sides are perpendicular

Their corresponding sides are parallel

Explain how you can use the SSS Similarity Theorem to determine if two triangles are similar.

To determine if two triangles are similar using the SSS Similarity Theorem, you need to compare the ratios of the corresponding sides of the two triangles. If the ratios are equal, then the triangles are similar.

Check if the triangles have the same perimeter

Count the number of sides in each triangle and compare them

Measure the angles of the triangles and compare them

If two triangles satisfy the SSS Similarity Theorem, what can you say about their corresponding angles and sides?

Corresponding angles are congruent and corresponding sides are proportional.

Corresponding angles are congruent and corresponding sides are not proportional.

Corresponding angles are not congruent and corresponding sides are proportional.

Corresponding angles are not congruent and corresponding sides are not proportional.

How is the SSS Similarity Theorem different from the SSS Congruence Theorem?

The SSS Similarity Theorem deals with similarity of triangles based on proportional sides, while the SSS Congruence Theorem deals with congruence of triangles based on congruent sides.

The SSS Similarity Theorem deals with congruence of triangles based on proportional sides, while the SSS Congruence Theorem deals with similarity of triangles based on congruent sides.

The SSS Similarity Theorem states that all sides of the triangles are equal, while the SSS Congruence Theorem states that only two sides and the included angle are equal.

The SSS Similarity Theorem only applies to right-angled triangles, while the SSS Congruence Theorem applies to all types of triangles.

Provide an example of how to apply the SSS Similarity Theorem to determine if two triangles are similar.

An example of applying the SSS Similarity Theorem is to compare two triangles with side lengths of 3, 4, 5 and 6, 8, 10. By comparing the ratios of the corresponding sides (3/6, 4/8, 5/10), we can determine if the triangles are similar.

Using the Pythagorean Theorem to determine if the triangles are similar

Measuring the area of the two triangles to determine their similarity

Comparing the angles of the two triangles to see if they are congruent

State the SSS Similarity Theorem.

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

If the corresponding sides of two triangles are equal, then the triangles are similar.

If the corresponding sides of two triangles are not in proportion, then the triangles are similar.

If the corresponding angles of two triangles are in proportion, then the triangles are similar.

Applying Ratios to Triangles Quiz

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the value of x.

10

35

8

None of these

Tags

CCSS.HSG.SRT.A.2

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If a line divides two sides of a triangle proportionally, then it is .......

congruent to the third side.

parallel to the third side

perpendicular to the third side.

twice the length of the third side

Tags

CCSS.HSG.SRT.B.4

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

8

5

6

4

Tags

CCSS.HSG.SRT.B.4

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the length of AB

9

12

13

15

Tags

CCSS.HSG.SRT.B.4

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve for x

18

12

6.75

85.3

Tags

CCSS.HSG.SRT.B.4

6.

FILL IN THE BLANK QUESTION

1 min • 1 pt

If a triangle within a triangle has base lines that are parallel, the two triangles MUST be similar because their three angles are all congruent. Angles D and B as well as E and C are congruent because they are corresponding angles on parallel lines. Angle A is a reflexive angle.

Since the triangles are similar that means the corresponding sides must be:

Tags

CCSS.HSG.SRT.A.2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

6

8

7.2

6.8

Tags

CCSS.HSG.SRT.B.4

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Applying Ratios to Triangles

Find the value of x.

If a line divides two sides of a triangle proportionally, then it is .......

Find the length of AB

Solve for x

Find the value of z.

Select ALL of the following ratios that are true.

Select ALL of the following ratios that are true.

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