NAME______________________________DATE______________PER



NAME______________________________DATE______________PER.______

SIMILAR TRIANGLES

Can the following triangles be proven similar? If yes, how? Write a similarity statement if possible.

| | |

|1. Similar? YES or NO | |

|If yes, HOW?__________ | |

|(________~(________ | |

| | |

| | |

| | |

| | |

|2. Similar? YES or NO | |

|If yes, HOW?__________ | |

|(________~(________ | |

| | |

| | |

| | |

| | |

| | |

|3. Similar? YES or NO | |

|If yes, HOW?__________ | |

|(________~(________ | |

| | |

| | |

| | |

| | |

| | |

|4. Similar? YES or NO | |

|If yes, HOW?__________ | |

|(________~(________ | |

| | |

| | |

| | |

| | |

| | |

|5. Similar? YES or NO | |

|If yes, HOW?__________ | |

|(________~(________ | |

| | |

| | |

| | |

| | |

|6. Similar? YES or NO | |

|If yes, HOW?__________ | |

|(________~(________ | |

| | |

| | |

| | |

Find the indicated value(s).

| | |

|7. Similar? YES or NO |Given that MN (( OP, determine if (LMN ~ LOP. If so, how? Find the value of ‘x’ if |

|If yes, HOW?__________ |possible. |

|x = __________ | |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

|8. Similar? YES or NO |Given that RS (( VT, determine if (RSU ~ (VTU. If so, how? Find the values of ‘x’ and ‘y’ |

|If yes, HOW?__________ |if possible. |

|x = __________ | |

|y = __________ | |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

|9. Similar? YES or NO |The measures of the sides of (LMN are 3, 7, & 9. The measures of the sides of (RST are 21, |

| |49, and 63. Are the two triangles similar? If so, what is the common ratio? |

|Common Ratio:__________ | |

| | |

| | |

| | |

| | |

| | |

| | |

|10. Similar? YES or NO |The measures of two sides of (ABC are 3 & 4, and the measure of the included angle is 62(. |

| |The measures of two sides of (DEF are 27 & 36, and the measure of the included angle is 62(.|

|Common |Are the two triangles similar? If so, what is their common ratio? |

|Ratio:__________ | |

| | |

| | |

| | |

| | |

PRACTICE

Find the correct answer for each of the following. Clearly circle/bubble in your answer as necessary. Work must be shown in order to receive credit.

11. What is the common ratio of the

parallelograms shown below?

A. 5:3

B. 4:3

C. 5:7

D. The parallelograms are not similar.

12. Determine if the triangles are

similar. If so what proves the two

triangles are similar?

A. SSS Similarity Theorem

B. ASA Similarity Theorem

C. AA Similarity Postulate

D. The triangles are not similar.

13. In the figure below, (ABC is

similar to (DEF. Find the length

of DE.

A. 6.5

B. 7.5

C. 8

D. 9

14. Senior photos come in 5 sizes,

2 x 3, 4 x 5, 5 x 7, 8 x 10, and

10 x 13. Which sizes are similar?

A. 5 x 7 and 10 x 13

B. 4 x 5 and 8 x 10

C. 2 x 3 and 5 x 7

D. 2 x 3 and 4 x 5

-----------------------

A#9-4

Q

R

P

7

10

15

M

N

O

30

21

45

R

S

T

A

B

C

120(

120(

40(

20(

N

L

M

U

T

S

12

8

9

6

W

Y

Z

M

K

S

10

8

5

4

J

L

F

D

E

A#9-4 Pg. 2

Z

Y

A

D

B

C

7

7

3

9

9

6

L

M

N

O

P

2

1

x + 1

x

R

S

V

T

U

20

y

9

3

12

x

A#9-4 Pg. 3

P

Q

R

S

T

53(

37(

30 m

18 m

9 m

15 m

A#9-4 Pg. 4

A

B

C

D

E

F

10

16

12

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download