Similar and Congruent Figures. Similar figures have the same shape, but not the same size. They must...

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Similar and Congruent Figures

Transcript of Similar and Congruent Figures. Similar figures have the same shape, but not the same size. They must...

Page 1: Similar and Congruent Figures. Similar figures have the same shape, but not the same size. They must have the same ratio of side lengths Congruent figures.

Similar and Congruent Figures

Page 2: Similar and Congruent Figures. Similar figures have the same shape, but not the same size. They must have the same ratio of side lengths Congruent figures.

Similar and Congruent Figures

• Similar figures have the same shape, but not the same size. They must have the same ratio of side lengths

• Congruent figures have the same shape and the same size

• Corresponding parts are the sides or angles that have the same position.

Page 3: Similar and Congruent Figures. Similar figures have the same shape, but not the same size. They must have the same ratio of side lengths Congruent figures.

• The symbol means that the shapes are similar

• The symbol means that the shapes are congruent

Page 4: Similar and Congruent Figures. Similar figures have the same shape, but not the same size. They must have the same ratio of side lengths Congruent figures.

Similar Triangles

Page 5: Similar and Congruent Figures. Similar figures have the same shape, but not the same size. They must have the same ratio of side lengths Congruent figures.

Similar Triangles

34

5

610

8

What is the ratio of sides?

Page 6: Similar and Congruent Figures. Similar figures have the same shape, but not the same size. They must have the same ratio of side lengths Congruent figures.

Congruent Figures

A

B

C DE

F

128

What is the length of EF

What is the length of BC

Page 7: Similar and Congruent Figures. Similar figures have the same shape, but not the same size. They must have the same ratio of side lengths Congruent figures.

Similar Figures

A

B

C

D

E

F

G

H

FIGURE 1

Figure 2

Side AB is similar to side ________

Side BD is similar to side ________

Page 8: Similar and Congruent Figures. Similar figures have the same shape, but not the same size. They must have the same ratio of side lengths Congruent figures.

Similar FiguresA

B

C

D

E

F

G

H

FIGURE 1

Figure 2

What is the ratio of the sides________

What is the length of side AB?

1510 6

12

What is the length of side EH?