Similar And Congruent Shapes

Take the WOO Name:

Section:

Date:

Number: Similar and Congruent Shapes

Part I: Notes Similar Shapes: shapes that have the same

.

Congruent Shapes: shapes that are the exactly the same. But these shapes could be into different Corresponding Sides: Sides that are in the

. place in different

To see if shapes are similar: 1. Check the of their corresponding sides. 2. Cross multiply this ratio. 3. If the cross multiplications equal each other, the shapes are These triangles are similar because their corresponding sides are in proportion to each other. 1 2

2 4

_1 _ = 2_ 2 4 1*4=4 2*2=4 Write a proportion and find the cross products to find out if each pair of triangles is similar.

.

.

Take the WOO Name:

Section:

Date:

Number:

2 4

4

3

4

1

8

3

_2 _ = ____ 4 Is this pair of triangles similar?

Is this pair of triangles similar?

Yes

Yes

No

What about this pair of trapezoids?

No

Are these parrellograms congruent? 7 3

10

3

7

8 5

4

Is this pair of triangles similar?

Is this pair of parellograms congruent?

Yes

Yes

No

No

Independent Practice: Write the answers to the questions on the board below. 1.

2.

3.

4. a) Congruent

or

Similar

b) Congruent

or

Similar

Why: Why:

Take the WOO Name:

Section:

Date:

Number:

c) Congruent

or

Similar

Why:

d) Congruent

or

Similar

Why:

e) Congruent

or

Similar

Why: