Geometric Mean Lesson

9 Slides • 19 Questions

1

2

3

4

Multiple Choice

What does altitude mean?

1

base

2

height

3

length

4

distance

5

Dropdown

The hypotenuse is the

side of a right triangle.

6

7

Dropdown

Congruent shapes are those that have the

shape and the

size.

8

Dropdown

Similar shapes have the

angles and proportional sides, but are

sizes.

9

Similar Triangles

Def: Similar triangles have the same angles, proportional sides and different sizes. Where the 2 triangles on the inside are dilations of the biggest triangle.

Click the link to see a simulation of Similar Triangles.

10

Dropdown

When looking at similar triangles, we know that 2 of the triangles are

of the first triangle. This causes the sides of all three triangles to be

and their angles to be

.

11

12

Multiple Choice

Find the geometric mean of 9 and 4.

1

3

2

6

3

8

4

13

Multiple Choice

Find the geometric mean of 16 and 1.

1

4

2

8

3

12

4

2

14

Multiple Choice

Find the geometric mean of 9 and 64.

1

24

2

40

3

15

4

72

15

Multiple Choice

Find the geometric mean of 36 and 4.

1

8

2

12

3

20

4

16

17

Math Response

Find the altitude of the triangle.

Type answer here

Deg^°

Rad

18

Math Response

Find the altitude of the triangle.

Type answer here

Deg^°

Rad

19

Math Response

Find the missing leg of the triangle.

Type answer here

Deg^°

Rad

20

Math Response

Find the missing leg of triangle.

Type answer here

Deg^°

Rad

21

Math Response

Find the hypotenuse of the indicated triangle.

Type answer here

Deg^°

Rad

22

Math Response

Find the hypotenuse of the indicated triangle.

Type answer here

Deg^°

Rad

23

24

Open Ended

Find the missing legs of the triangle.

Answer Notation:

x =

y =

Type response here

25

Open Ended

Find the missing legs of the triangle.

Answer Notation:

x =

y =

Type response here

26

Open Ended

Find the missing legs of the triangle.

Answer Notation:

x =

y =

z =

Type response here

27

Open Ended

Find the missing legs of the triangle.

Answer Notation:

x =

y =

z =

Type response here

28

Skills Practice and DOL

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