Bisectors of Triangles
Medians/Midsegment of Triangles
Inequalities in Triangles
100

Find QP.

a) QP = 3

b) QP = 9

c) QP = 18

Answer:

c) QP = 18

100

Describe and correct the mistake in finding DE. Point D is the centroid of Triangle ABC.

Answer:

100

Answer:

6. AB > CB

7. m∠1 < m∠2

200

Find m∠GJK.

a) m∠GJK=7⁰

b) m∠GJK=59⁰

c)m∠GJK=31⁰

Answer:

b) m∠GJK=59⁰

200

Point P is the centroid of Triangle LMN and QN=42. Find PN and QP.

a) PN=21, QP=21

b) PN=14, QP=28

c) PN=28, QP=14

Answer:

c) PN=28, QP=14

200

List the sides of the given triangle from shortest to longest.

a) 

\overline{MN},\overline{NP}, \overline{MP}

b) 

\overline{NP},\overline{MN}, \overline{MP}

c) 

\overline{MP},\overline{NP}, \overline{MN}

Answer:

b) 

\overline{NP},\overline{MN}, \overline{MP}


300

The incenter of Triangle ABC is point N.

a) NT=15

b) NT= -3

c) NT= 3

Answer:

a) NT=15

300

Point D is the centroid of Triangle ABC and DE=9. Find CD and CE.

a) CD=18, CE=27

b) CD=27, CE=18

c) CD=9, CE=18

Answer:

a) CD=18, CE=27

300

List the angles of the given triangle from smallest to largest.

a) ∠R, ∠S, ∠T

b) ∠T, ∠R, ∠S

c) ∠S, ∠R, ∠T

Answer:

c) ∠S, ∠R, ∠T

400

a) PY=7

b) PY=31

c) PY= 14

Answer:

b) PY=31

400

\overline{DE}

 is a midsegment of Triangle ABC. Find the value of x.

a) 1. x=8    2. x=13

b) 1. x=13   2. x=8

c) 1. x=52    2. x=16

Answer:

b) 1. x=13   2. x=8

400

Describe the possible side lengths of the third side of the triangle given the lengths of the other two sides: 5 inches and 12 inches.

a) 7 in. < x < 17 in.

b) 7 in. > x > 17 in.

c) 7 in. < x > 17 in.

Answer:

a) 7 in. < x < 17 in.

500

a) PZ=10

b) PZ=30

c) PZ=32

Answer:

c) PZ=32

500

Answer:

17. AB=14

18. HB=13

19. GA=17

500

Is it possible to construct a triangle with the given side lengths: 28,17,46?

Answer:

No

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