State the SAS Similarity Theorem.

If two triangles have two pairs of sides in the same ratio and the included angles are congruent, then the triangles are similar.

If two triangles have two pairs of sides in the same ratio and the included angles are not congruent, then the triangles are similar.

If two triangles have two pairs of sides in different ratios and the included angles are congruent, then the triangles are similar.

If two triangles have three pairs of sides in the same ratio and the included angles are congruent, then the triangles are similar.

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

Corresponding angles are equal and corresponding sides are in proportion.

Corresponding angles are not equal and corresponding sides are in proportion.

Corresponding angles are equal and corresponding sides are not in proportion.

Corresponding angles are not equal and corresponding sides are not in proportion.

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

To determine if two triangles are similar using the SAS Similarity Theorem, you would need to compare the ratios of the corresponding sides and check if the included angles are congruent.

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 are similar, what can you say about their corresponding sides?

The corresponding sides of similar triangles are proportional.

The corresponding sides of similar triangles are equal in length.

The corresponding sides of similar triangles are perpendicular to each other.

The corresponding sides of similar triangles are parallel to each other.

In the SAS Similarity Theorem, if two angles of one triangle are congruent to two angles of another triangle, what can you conclude about the triangles?

The triangles are right-angled.

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

Two triangles are similar if two pairs of corresponding angles are congruent and the corresponding sides are in proportion.

The corresponding sides are not in proportion

The triangles have different perimeters

Two pairs of corresponding angles are not congruent

Provide an example problem where you can apply the SAS Similarity Theorem to determine if two triangles are similar.

An example problem could be: Triangle ABC has side lengths AB = 6, BC = 9, and angle B = 60 degrees. Triangle DEF has side lengths DE = 4, EF = 6, and angle E = 60 degrees. Determine if triangle ABC is similar to triangle DEF using the SAS Similarity Theorem.

Triangle ABC has side lengths AB = 6, BC = 9, and angle B = 60 degrees. Triangle DEF has side lengths DE = 4, EF = 6, and angle E = 60 degrees. Determine if triangle ABC is similar to triangle DEF using the Pythagorean Theorem.

Triangle ABC has side lengths AB = 6, BC = 9, and angle B = 60 degrees. Triangle DEF has side lengths DE = 4, EF = 6, and angle E = 30 degrees. Determine if triangle ABC is similar to triangle DEF using the SAS Similarity Theorem.

Triangle ABC has side lengths AB = 6, BC = 9, and angle B = 90 degrees. Triangle DEF has side lengths DE = 4, EF = 6, and angle E = 60 degrees. Determine if triangle ABC is similar to triangle DEF using the SAS Similarity Theorem.

If two triangles are similar, what can you say about their corresponding angles?

Corresponding angles of similar triangles are equal.

Corresponding angles of similar triangles are always right angles

Corresponding angles of similar triangles are always acute

Corresponding angles of similar triangles are always obtuse

SAS Similarity Theorem

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

If the triangles are similar, state how.

SSS

SAS

Not similar.

Tags

CCSS.HSG.SRT.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Determine whether the triangles are similar or not. If so, state how they are similar.

Yes, by AA Similarity

Yes, by SAS Similarity

Yes, by SSS Similarity

No, not similar

Tags

CCSS.HSG.SRT.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What does SAS~ mean?

Salsa And Starbucks similarity

Sam And Sandy ~

Side Angle Side similarity

Side Angle Starbucks ~

Tags

CCSS.HSG.SRT.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What similarity theorem would we use to prove these two triangles are similar?

AA~

SAS~

SSS~

none of the above

Tags

CCSS.HSG.SRT.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which theorem states, "If two sides of one triangle are proportional to the corresponding two sides of another triangle and the included angle are congruent, then the two triangles are similar."?

SSS Similarity Theorem

SAS Similarity Theorem

AA Similarity Theorem

AAA Similarity Theorem

Tags

CCSS.HSG.SRT.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Can we use the SAS Similarity Theorem to prove the two triangles are similar?

Yes

Tags

CCSS.HSG.SRT.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What similarity theorem would we use to prove these two triangles are similar?

AA~

SAS~

SSS~

none of the above

Tags

CCSS.HSG.SRT.B.5

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SAS Similarity Theorem

If the triangles are similar, state how.

Determine whether the triangles are similar or not. If so, state how they are similar.

What does SAS~ mean?

What similarity theorem would we use to prove these two triangles are similar?

Which theorem states, "If two sides of one triangle are proportional to the corresponding two sides of another triangle and the included angle are congruent, then the two triangles are similar."?

Can we use the SAS Similarity Theorem to prove the two triangles are similar?

What similarity theorem would we use to prove these two triangles are similar?

How do these triangles appear to be similar?

Are the triangles similar? If yes, what did you use.

Determine if the triangles are similar. If they are, identify the triangle similarity theorem(s) that prove(s) the similarity.

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