5-Angle Bisectors of Triangles - Kuta Software LLC

Kuta Software - Infinite Geometry

Name___________________________________

Angle Bisectors of Triangles

Date________________ Period____

Each figure shows a triangle with one of its angle bisectors.

1) mSUT = 34?. Find m1.

2) Find mSQR if m2 = 13?.

U

12

S

PT

S

1

Q

2

P

R

Each figure shows a triangle with its three angle bisectors intersecting at point P.

3) PT = 3. Find PU.

4) Find PV if PW = 7.

D

T

F

P SU

E

HW

F

XP

V G

5) Find PW if PX = 5.

D

Y

W

P

E

X

C

6) Find PD if PC = 8.

RB

Q

D

P

C

S

7) PY = 2 and HP = 3. Find HY.

F

ZP Y

G

XH

8) Find AP if PQ = 1 and AR = 2.

A

S

B

R

P Q

C

?x B2u0W1q1U BK5uKtsaJ USUoEfntDwAanrXej hLgL0CY.I i rAml8ly LrPi6gnhbtWsE 4r3eDsSeorOvYe1db.5 D 8MnacdleX dwuiAtJhj XIon0fIiJnviXtjeT uGBexopmDestqrZyD.S

-1-

Worksheet by Kuta Software LLC

9) PT = 5 and FP = 7. Find FT.

F TU

P

H

S

G

10) PT = 3 and CP = 8. Find CT.

E

T

C

S

P

U

D

11) Find PB if UC = 2 and UP = 3.

U

D

T

CP B

S

12) PS = 3 and XP = 5. Find XS.

Y RT P

X

S

Z

Each figure shows a triangle with one of its angle bisectors.

13) Find x if m2 = 4x + 5 and m1 = 5x - 2.

14) Find x if m2 = 1 + 28x and mXVW = 59x - 1.

Y

P

Z

21

X

V

W

2

1

P

X

15) m1 = 7x + 7 and mVTU = 16x + 4. Find m1.

V

T

1

2

P

U

16) Find m2 if m2 = 7x + 5 and m1 = 9x - 5.

D

P C

1 2

B

?S 42C0G121m 9K4ustlae OSHoCfUtgwFanr8em ILgLGC4.V r fAJl6lJ YrkiQgyhAtXsb srqevsdejrhvTeNdX.o D ZMza7d1e4 zwUi7tIhO AIOnAf9iRnUi6tAes aGle0oHmWeItYrGyR.7

-2-

Worksheet by Kuta Software LLC

Kuta Software - Infinite Geometry

Name___________________________________

Angle Bisectors of Triangles

Date________________ Period____

Each figure shows a triangle with one of its angle bisectors.

1) mSUT = 34?. Find m1.

2) Find mSQR if m2 = 13?.

U

12

S

PT

17?

S

1

Q

2

P

R

26?

Each figure shows a triangle with its three angle bisectors intersecting at point P.

3) PT = 3. Find PU.

4) Find PV if PW = 7.

D

T

F

P SU

E

3

HW

F

XP

V G

7

5) Find PW if PX = 5.

D

Y

W

P

E

X

C

5

6) Find PD if PC = 8.

RB

Q

D

P

C

S

8

7) PY = 2 and HP = 3. Find HY.

F

8) Find AP if PQ = 1 and AR = 2.

A

S

B

ZP Y

G

XH

2.24

R

P Q

C

2.24

?B 32s0F1w1Z 9KsuCtfau MS2oQfPtewWaVrkeA 4LgLsCI.E c IA2lblk 1riiLgYhkt1sM IrleCsRe8rEvpeVdI.j s LM4azdBeG 0wVi5t4hr oI6ndfIiFn6iJtne4 kGJeOoImqeftGreyg.5

-1-

Worksheet by Kuta Software LLC

9) PT = 5 and FP = 7. Find FT.

F TU

P

H

S

G

4.9

10) PT = 3 and CP = 8. Find CT.

E

T

C

S

P

U

D

7.42

11) Find PB if UC = 2 and UP = 3.

U

D

T

CP B

S

2.24

12) PS = 3 and XP = 5. Find XS.

Y RT P

X

S

Z

4

Each figure shows a triangle with one of its angle bisectors.

13) Find x if m2 = 4x + 5 and m1 = 5x - 2.

14) Find x if m2 = 1 + 28x and mXVW = 59x - 1.

Y

P

Z

21

X

7

V

W

2

1

P

X

1

15) m1 = 7x + 7 and mVTU = 16x + 4. Find m1.

V

T

1

2

P

U

42?

16) Find m2 if m2 = 7x + 5 and m1 = 9x - 5.

D

P

C

40?

1 2

B

Create your own worksheets like this one with Infinite Geometry. Free trial available at

?q M2V011X1K QKXubtEaq xSLoIfkt6wfa3rseQ iLCLeC2.P g oASlmlC nrviFgHhjtBsv drTehsme7rNvWeGd9.V I sMlaqd4eA IwMietMhZ cImnQfRiHnsiGtZe1 qGTe0oJmOe5tPrXyc.x

-2-

Worksheet by Kuta Software LLC

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

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

Google Online Preview   Download