Similarity Criteria

What is the fundamental difference between similar and congruent geometric figures?

• Congruent figures have equal angles and sides

• Similar figures have equal angles or equal sides

• Similar figures have both equal angles and sides

• Congruent figures have proportional angles and sides

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

In triangle similarity, what does the Side-Angle-Side (SAS) criterion state?

• Two pairs of corresponding sides are equal

• Two pairs of corresponding angles are equal

• Two pairs of corresponding sides and one pair of corresponding angles are equal

• One pair of corresponding sides and two pairs of corresponding angles are equal

Tags

CCSS.HSG.SRT.B.5

If two triangles are similar, what is the relationship between their corresponding angles?

• They are supplementary

• They are complementary

• They are equal

• They are congruent

Tags

CCSS.HSG.SRT.A.2

Which similarity criterion requires all three pairs of corresponding angles to be equal?

• Angle-Side-Angle (ASA)

• Angle-Angle-Angle (AAA)

• Side-Angle-Side (SAS)

• Side-Side-Side (SSS)

Tags

CCSS.HSG.SRT.B.5

In similar triangles, what can be said about the ratio of corresponding sides?

• They are equal

• They are proportional

• They are supplementary

• They are congruent

Tags

CCSS.HSG.SRT.A.2

If two circles are similar, what relationship exists between their radii?

• They are equal

• They are proportional

• They are supplementary

• They are congruent

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Which geometric transformation preserves the shape and size of a figure?

• Translation

• Rotation

• Reflection

• Dilation

Tags

CCSS.HSG.CO.A.2

If two rectangles are similar, what can be said about the ratios of their corresponding sides?

• They are equal

• They are proportional

• They are supplementary

• They are congruent

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

What is the condition for similarity in right-angled triangles?

• Two angles are equal

• The hypotenuse and one side are equal

• All three sides are equal

• Two sides are equal

Tags

CCSS.HSG.SRT.A.2

In triangle ABC, if ∠A = 40° and ∠B = 60°, what is the measure of ∠C for the triangle to be similar to another triangle?

• 40°

• 60°

• 80°

• 100°

Tags

CCSS.HSG.SRT.A.2