5.4 Isosceles, Equilateral Triangles and Review Practice



Geometry

Isosceles, Equilateral Triangles and Review

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Find the value of x.

1)

2)

Name___________________________________

x

A) C)

B) D)

3) m2x

28?

A) C)

B) D)

5) m2x

A) C)

x

B) D)

4) m2x

70?

A) C)

B) D)

113?

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Find the measure of the angle indicated. 6) Find mTUV.

U

V

x x

?

T

C

7) Find mVFG.

V F x

? x

H

G

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Worksheet by Kuta Software LLC

Sketch the graph of each line.

8) x y

A) y

x

B) y

x

C) y

x

D) y

x

9) xy A)

y

x

B) y

x

C) y

x

D) y

x

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Worksheet by Kuta Software LLC

Find the area of each triangle. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.

10)

A) C)

B) D)

11)

A) C)

B) D)

Write a rule to describe each transformation.

12) y

13) y

X

x

X'

Y Y'

B B'

A) translation: (, )

B) rotation 90? clockwise about the origin

C) translation: (, ) D) translation: (, )

R

R' Y

Y'

Jx

Q

J'

Q'

A) translation: (, )

B) rotation 90? counterclockwise about the origin

C) reflection across yx

D) translation: (, )

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Worksheet by Kuta Software LLC

Find the coordinates of the vertices of each figure after the given transformation.

14) translation: 4 units right and 1 unit up

y

15) translation: 2 units right and 1 unit up

y

B

x

W

I

A) W'(, ), B'(, ), I'(, ) B) W'(, ), B'(, ), I'(, ) C) W'(, ), B'(, ), I'(, ) D) B'(, ), I'(, ), W'(, )

E

x

J

L

A) L'(, ), E'(, ), J'(, ) B) L'(, ), E'(, ), J'(, ) C) L'(, ), E'(, ), J'(, ) D) L'(, ), E'(, ), J'(, )

State what additional information is required in order to know that the triangles are congruent for the reason given.

16) SAS

17) HL

V

U

U Q

T D

R

S

T

V

18) AAS

F

D

X

W

Y

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Worksheet by Kuta Software LLC

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