Geometry Help

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Chapter F: Proportion and Similarity Joseph Sigmon

Question 1 1/1 pt 99

Question 2 1/1 pt 99

Question 3 1/1 pt 99

Question 4 1/1 pt 99

Question 5 1/1 pt 99

For the proportion: , name the means, name the extremes, and then show the product of the

means is equal to the product of the extremes.

Means: 4 , 4 Product of the Means: 16

Extremes: 1 , 16 Product of the Extremes: 16

= 1

4

4

16

a.     b.

c.     d.

For the proportion: , name the means, name the extremes, and then show the product of the

means is equal to the product of the extremes.

Means: 6 , .4    

Product of the Means: 2.4  

Extremes: 1 , 2.4    

Product of the Extremes: 2.4  

= 1

6

0.4

2.4

a.

b.

c.

d.

Find the missing term in the proportion:

25

= 3

5

15

x

x =

Find the missing term in the proportion:

7  

= 4

7

4

x

x =

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Question 6 1/1 pt 99

Question 7 1/1 pt 99

Question 8 0.67/1 pt 3-5 99

Question 9 0/1 pt 5 99

Find the missing term in the proportion:

20  

=

1

2

y

1

5

8

y =

Find the missing term in the proportion:

8  

= 0.3

0.6

4

x

x =

A water tower is feet tall and casts a shadow feet long, while a child casts a shadow feet long. How tall is the child?

The child is 4 feet tall.

36 54 6

Determine whether the polygons are similar. If so, write the similarity ratio and a similarity statement.

~ with similarity ratio:  

34 ∘

36 ∘

36 ∘

110 ∘

70

65

40

42

39

24

Delta MLN Delta QPR

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Question 10 0/1 pt 5 99

Question 11 0/1 pt 5 99

Find so that the triangles are similar. x

38 ∘

47 ∘

47 ∘

95 ∘

x

55

40

52

44

32

x =

Find the value for x.

ΔMNP ~ ΔXYZ

x =

3

5

x + 1

3x - 1

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Question 12 1/1 pt 99

Question 13 1/1 pt 99

Find the value for `x`.

`Delta MNP` ~ `DeltaXYZ`

Note: Solving this will result in two possible answers. Always make sure the value of `x` produces positive lengths.

`x=`

`12`

`2x`

`4x+2`

`1`

The two triangles are similar, state the similarity statement and the reason they are similar.

~ because of the .

`20^@`

`55^@`

`55^@`

`105^@`

Delta LNM Delta PRQ

Angle-Angle (AA) Similarity Postulate

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Question 14 1/1 pt 99

Question 15 1/1 pt 99

The two triangles are similar, state the similarity statement and the reason they are similar.

~ because of the .

`65`

`60`

`40`

`26`

`24` `16`

Delta NML Delta RQP

Side-Side-Side (SSS) Similarity Theorem

The two triangles are similar, state the similarity statement and the reason they are similar.

~ because of the .

`55^@`

`55^@`

`32`

`28`

`24` `21`

Delta LNM Delta PRQ

Side-Angle-Side (SAS) Similarity Theorem

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Question 16 1/1 pt 99

Question 17 1/1 pt 99

The two triangles are similar, state the similarity statement and the reason they are similar.

~ because of the .

Delta SQR Delta OPR

Angle-Angle (AA) Similarity Postulate

The two triangles are similar, state the similarity statement and the reason they are similar.

~ because of the .

`84^@` `48^@`

Delta EFD Delta BCA

Side-Angle-Side (SAS) Similarity Theorem

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Question 18 1/1 pt 99

Question 19 0/1 pt 4 99

The two triangles are similar, state the similarity statement and the reason they are similar.

~ because of the .

`18`

`18`

`2.56` `2.56`

`2.56` `18`

Delta UTS Delta RQP

Side-Side-Side (SSS) Similarity Theorem

Two of the triangles are similar, state the similarity statement and the reason they are similar.

~ because of the .

Delta GFH Delta GHI

Angle-Angle (AA) Similarity Postulate

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Question 20 0/1 pt 5 99

Question 21 0/1 pt 5 99

Question 22 0/1 pt 5 99

Find the value for `x`.

`x=` 2

`5`

`7`

`x+1`

`3x+2`

Find the value for `a`.

`a=`

`3` `6`

`a` `10`

Find the value for `a`.

`a=`

`3` `6`

`a+1` `3a-2`

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Question 23 0/1 pt 5 99

Question 24 1/1 pt 99

Find the value for `x`.

Note: Solving this will result in two possible answers. Always make sure the value of `x` produces positive lengths.

`x=`

`2` `5x-9`

`2x-2` `1`

Find the value for `z`.

Note: Solving this will result in two possible answers. Always make sure the value of `z` produces positive lengths.

`z=`  

`6` `3z+2`

`4z-2` `1`

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Question 25 1/1 pt 99

A tree casts a shadow of `38` feet long, while a `6`-foot man casts a shadow of `4` feet long. How tall is the tree?

The tree is 57 feet tall.

A building casts a shadow `128` feet long, while a `24`-foot flagpole casts a shadow `32` feet long. How tall is the building?

The building is 96 feet tall.