6.4 – Prove Triangles Similar by AA

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6.4 – Prove Triangles Similar by AA

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6.4 – Prove Triangles Similar by AA. AA Similarity (AA ~). Two triangles are similar if two of their corresponding angles are congruent. Use the diagram to complete the statement.  GHI. Use the diagram to complete the statement. GI. HI. GH. - PowerPoint PPT Presentation

Transcript of 6.4 – Prove Triangles Similar by AA

Page 1: 6.4 – Prove Triangles Similar by AA

6.4 – Prove Triangles Similar by AA

Page 2: 6.4 – Prove Triangles Similar by AA

AA Similarity (AA ~)

Two triangles are similar if two of their corresponding angles are congruent.

Page 3: 6.4 – Prove Triangles Similar by AA

Use the diagram to complete the statement.

______~MON GHI

Page 4: 6.4 – Prove Triangles Similar by AA

Use the diagram to complete the statement.

???

MOONMN

GI HI GH

Page 5: 6.4 – Prove Triangles Similar by AA

Use the diagram to complete the statement.

10

?

12

16

x

Page 6: 6.4 – Prove Triangles Similar by AA

Use the diagram to complete the statement.

y

?

16

12 8

Page 7: 6.4 – Prove Triangles Similar by AA

Use the diagram to complete the statement.

10

?

12

16

x

12x = 160

x = 40 3

Page 8: 6.4 – Prove Triangles Similar by AA

Use the diagram to complete the statement.

12y = 128

x = 32 3

y

?

16

12 8

Page 9: 6.4 – Prove Triangles Similar by AA

Use the diagram to complete the statement.

______~ABC DEF

Page 10: 6.4 – Prove Triangles Similar by AA

?

?

?

CA

EF

AB

Use the diagram to complete the statement.

DE

BC

FD

Page 11: 6.4 – Prove Triangles Similar by AA

_____B

Use the diagram to complete the statement.

E

Page 12: 6.4 – Prove Triangles Similar by AA

Use the diagram to complete the statement.

?

8

12

?

x

y

Page 13: 6.4 – Prove Triangles Similar by AA

Use the diagram to complete the statement.

?

6

12

?

x

16

Page 14: 6.4 – Prove Triangles Similar by AA

Use the diagram to complete the statement.

16

6

12

?

x

16x = 72

x = 4.5

Page 15: 6.4 – Prove Triangles Similar by AA

Use the diagram to complete the statement.

y

8

16

6

6y = 128

x = 64 3

Page 16: 6.4 – Prove Triangles Similar by AA

Determine whether the triangles are similar. If they are, explain

why and write a similarity statement.

No

26°

47°

Page 17: 6.4 – Prove Triangles Similar by AA

Determine whether the triangles are similar. If they are, explain

why and write a similarity statement.

AA~

ABC ~ EDC

ABC CDE

ACB ECD

Yes,

Page 18: 6.4 – Prove Triangles Similar by AA

Determine whether the triangles are similar. If they are, explain

why and write a similarity statement.

AA~ABC ~ DEF

77°55°

B E

C F

Yes,

Page 19: 6.4 – Prove Triangles Similar by AA

Determine whether the triangles are similar. If they are, explain

why and write a similarity statement.

No 82°

72°

Page 20: 6.4 – Prove Triangles Similar by AA

Determine whether the triangles are similar. If they are, explain

why and write a similarity statement.

AA~

SRV ~ TRU

U SVR

T VSR

Yes,

Page 21: 6.4 – Prove Triangles Similar by AA

Determine whether the triangles are similar. If they are, explain

why and write a similarity statement.

AA~

XTR ~ KAJ

T A

R J

Yes,

Page 22: 6.4 – Prove Triangles Similar by AA

Find the length of BC.

4

7

7x = 20

x = 20 7

5

x

Page 23: 6.4 – Prove Triangles Similar by AA

Find the value of x.

4

5

4x = 70

x = 17.5410

14

x