Congruence and Similarity in Two-Dimensional Figures

The length of the sides of two similar rectangles are in the ratio 3:4. If the shorter side of the larger rectangle is 20, what is the length of the shorter side of the smaller rectangle?

• 15

• 25

• 30

• 35

Are these triangles similar?

• Yes

• No

The pair of figures is similar. Find the missing side.

• x = 12

• x = 3

• x = 40

• x = 4

The pair of figures is similar. Find the missing side.

• x = 20

• x = 12

• x = 5

• x = 4

The pair of figures is similar. Find the missing side.

• x = 10

• x = 4

• x = 2

• x = 5

The pair of polygons is similar. Find the missing side measure.

• 3 units

• 3.4 units

• 2.7 units

• 4 units

Find the value of x in the pair of similar figures.

• 10 m

• 2 m

• 2.5 m

• 40 m

Which statement about the triangles at the right is true?

• ΔABC is not similar to ΔADF

• ΔABC is similar to ΔADF

• ∠BAC is not congruent to ∠DAF

• ΔABC is congruent to ΔADF

Two objects that are the same shape but not the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary 

x = 

• 90°

• 65°

• 25°