Triangle Similarity

What is required to prove triangle similarity using the Angle-Angle postulate?

• Two corresponding sides are proportional

• All three corresponding angles are congruent

• Two corresponding angles are congruent

• One angle and one side are congruent

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

If triangles have sides in the ratio 4:8, 5:10, and 6:12, are they similar by SSS?

• No, because the sides are not congruent

• No, because the ratios are different

• Yes, because the ratios are consistent

• Yes, because the sides are congruent

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.B.5

What does the Side-Side-Side (SSS) similarity postulate state?

• The triangles are congruent

• The ratios of corresponding sides are equal

• At least one pair of corresponding sides is congruent

• All corresponding sides are congruent

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.B.5

In the context of triangle similarity, what does SAS stand for?

• Segment-Angle-Segment

• Side-Angle-Side

• Side-Adjacent-Side

• Side-Aligned-Side

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.B.5

Which statement is true for the Side-Angle-Side (SAS) similarity postulate?

• Only the sides need to be proportional

• The included angle must be proportional, and the sides congruent

• The included angle must be congruent, and the sides proportional

• Only the angle needs to be congruent

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.B.5

How does the SAS similarity rule differ from the SAS congruence rule?

• SAS similarity does not require the angle to be congruent

• SAS similarity requires proportional sides, while SAS congruence requires congruent sides

• SAS similarity requires congruent sides, while SAS congruence requires proportional sides

• There is no difference; both rules are the same

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.B.5

If two triangles have sides in the ratio 3:3 and the included angles are congruent, are they similar by SAS?

• Yes, because the sides are congruent

• No, because the sides are not congruent

• Yes, because the sides are proportional and the angle is congruent

• No, because the angle is not congruent

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.B.5

What does it mean if two triangles are similar?

• They are congruent

• They have the same size but possibly different shapes

• They have the same shape but possibly different sizes

• They have the same size and shape

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

Which of the following is not a method to prove triangle similarity?

• Angle-Side-Angle (ASA)

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

• Angle-Angle (AA)

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

Can the ratio of sides alone, without knowing any angles, prove triangles similar?

• Yes, by the SSS postulate

• No, angles must also be known

• Yes, by the SAS postulate

• No, unless all sides are congruent

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.B.5