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Geometry Topic 5 Test Review on Relationships in Triangles

Last updated over 4 years ago

36 questions

1

1

1

1

1

1

1

1

1

1

1

1

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1

1

1

1

1

1

1

1

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1

Question 5

5.

The incenter is

Point A shown in the triangle on the left

Point K shown in the triangle on the right

1

1

1

Question 8

8.

The measure of KL =

1

Question 9

9.

The median of △DEF is

1

Question 10

10.

The altitude of △DEF is

1

1

1

1

1

Question 15

15.

Which angle has the least measure?

∠P

∠Q

∠R

1

Question 17

17.

What is the length of AF? Include the necessary work to support your answer choice.

18

9

27

13.5

Question 18

18.

What is the length of BD? Include the necessary work to support your answer choice.

48

24

36

12

Question 19

19.

The cities of Verticville, Triopolis, and Angletown are joining their city budgets together to build a centrally located airport. They would like the airport to be located equidistant to each of the freeways that connect the cities as shown in the illustration. They should locate the _______________.

Question 20

20.

What is the length of CE? Include the necessary work to support your answer choice.

24

12

16

8

Question 21

21.

Which triangle will have its circumcenter sit outside of the triangle?

a.

b.

c.

d.

Question 22

22.

What is the point of concurrency shown in this illustration?

centroid

circumcenter

incenter

orthocenter

Question 23

23.

List the sides from shortest to longest in △KLM.

KM, LM, KL

not enough information

KM, KL, LM

KL, LM, KM

ML, KL, KM

Question 24

24.

Which of the following players are located on the angle bisector of the angle formed between third base, home plate, and first base? Select all that apply.

Question 25

25.

The county wants to create a skatepark that is equidistant from each of the middle schools. Which of the following should the county use in order to do so?

a perpendicular bisector

an angle bisector

a median

an altitude

Question 26

26.

Which triangle will have its orthocenter sit outside of the triangle?

A

B

C

D

Question 27

27.

Shown in the illustration are six different roof trusses--assume perfect vertical symmetry in each design. Determine if the truss design includes an angle bisector of ∠ABC. Select all that apply.

Howe

Gambrel

Fink

King Post

Attic

Fan

Question 28

28.

Determine and clearly label the location of the circumcenter--show the process you used to determine this location.

Question 29

29.

What is the point of concurrency shown in this illustration?

incenter

circumcenter

orthocenter

centroid

Question 30

30.

Include all calculations/work to support your answer choice.

58°

38°

116°

19°

Question 31

31.

What is the point of concurrency shown in this illustration?

orthocenter

circumcenter

centroid

incenter

Question 32

32.

Given that point K is the incenter of △DEF, find the radius of the inscribed circle. Include all calculations/work to support your answer choice.

53

47

24

12

Question 33

33.

What is the point of concurrency shown in this illustration?

circumcenter

incenter

orthocenter

centroid

Question 34

34.

Which point of concurrency is equidistant to the vertices of a triangle?

incenter

orthocenter

circumcenter

centroid

Question 35

35.

Which point of concurrency is equidistant to the sides of a triangle?

centroid

circumcenter

incenter

orthocenter

Question 36

36.

Is BC the angle bisector of ∠ABD?

YES because m∠ABC ≅ m∠CBD

NO because m∠ABC ≠ m∠CBD

YES because m∠ABC ≠ m∠CBD

NO because m∠ABC ≅ m∠CBD

Question 1

1.

PR =

5

20

36

40

Question 2

2.

PS =

11

29

52

58

Question 3

3.

m∠KML =

25°

50°

12

12.5°

Question 4

4.

KL =

49°

24.5°

17

34

Question 6

6.

The circumcenter is

Point A shown in the triangle on the left

Point K shown in the triangle on the right

Question 7

7.

m∠FGL =

20°

40°

70°

140°

Question 11

11.

Can the lengths 14, 32, 18 form a triangle? Include the necessary work to support your answer choice.

Yes, these can form a triangle

No, these cannot form a triangle

Question 12

12.

Can the lengths 14, 25, 29 form a triangle? Include the necessary work to support your answer choice.

Yes, these can form a triangle

No, these cannot form a triangle

Question 13

13.

Can the lengths 37, 22, 56 form a triangle? Include the necessary work to support your answer choice.

Yes, these can form a triangle

No, these cannot form a triangle

Question 14

14.

Can the lengths 87, 35, 41 form a triangle? Include the necessary work to support your answer choice.

Yes, these can form a triangle

No, these cannot form a triangle

Question 16

16.

Which angle has the greatest measure?

∠P

∠Q

∠R