Similarity Problems Quiz

Question 1: If two triangles are similar, what can you say about their corresponding angles?

• Corresponding angles are supplementary

• Corresponding angles are equal

• Corresponding angles are parallel

• Corresponding angles are congruent

Tags

CCSS.HSG.SRT.A.2

Question 2: What is the ratio of the perimeters of two similar triangles?

• Difference of corresponding sides

• Sum of corresponding sides

• Product of corresponding sides

• Ratio of corresponding sides

Question 3: In a similar figure, if one side of the first triangle is 5 cm and the corresponding side of the second triangle is 10 cm, what is the scale factor?

• 5

• 2

• 3

• 8

Tags

CCSS.7.G.A.1

Question 4: How do you determine if two triangles are similar using the side-angle-side (SAS) similarity theorem?

• Check if the corresponding sides are in the same ratio and the included angles are equal.

• Check if the corresponding sides are in different ratios and the included angles are equal.

• Check if the corresponding sides are in the same ratio and the included angles are different.

• Check if the corresponding sides are in the same ratio and the included angles are not equal.

Tags

CCSS.HSG.SRT.B.5

Question 5: If the ratio of the areas of two similar triangles is 4:9, and the area of the smaller triangle is 36 square units, what is the area of the larger triangle?

• 72

• 45

• 81

• 24

Question 6: What is the relationship between the corresponding sides of similar triangles?

• They are parallel to each other

• They are equal in length

• They are in the same proportion or ratio.

• They are perpendicular to each other

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Question 7: How do you prove that two triangles are similar using the angle-angle (AA) similarity theorem?

• By showing that two corresponding angles of the triangles are congruent.

• By showing that the triangles have the same area.

• By showing that two corresponding sides of the triangles are congruent.

• By showing that the triangles have the same perimeter.

Tags

CCSS.HSG.SRT.B.5

Question 8: If the ratio of the corresponding sides of two similar triangles is 3:5, and the perimeter of the smaller triangle is 24 cm, what is the perimeter of the larger triangle?

• 18 cm

• 40 cm

• 30 cm

• 12 cm

Question 9: What is the condition for two triangles to be similar using the side-side-side (SSS) similarity theorem?

• The area of the two triangles is the same

• The corresponding angles of the two triangles are equal

• The sum of the two sides of one triangle is equal to the sum of the two sides of the other triangle

• The corresponding sides of the two triangles are in the same ratio.

Tags

CCSS.HSG.SRT.B.5

Question 10: If the ratio of the corresponding altitudes of two similar triangles is 2:3, and the area of the smaller triangle is 36 square units, what is the area of the larger triangle?

• 81

• 24

• 60

• 45