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Geometry Topic 5 Test Review on Relationships in Triangles

Last updated over 4 years ago

36 questions

1

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Question 8

8.

The measure of KL =

1

Question 9

9.

The median of △DEF is

1

1

1

1

1

1

1

Question 17

17.

Question 18

18.

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.

Question 21

21.

Question 22

22.

Question 23

23.

Question 24

24.

Question 25

25.

Question 26

26.

Question 27

27.

Question 28

28.

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

Question 29

29.

Question 30

30.

Question 31

31.

Question 32

32.

Question 33

33.

Question 34

34.

Question 35

35.

Question 36

36.

Question 1

1.

Question 2

2.

Question 3

3.

Question 4

4.

Question 5

5.

Question 6

6.

Question 7

7.

Question 10

10.

The altitude of △DEF is

Question 11

11.

Question 12

12.

Question 13

13.

Question 14

14.

Question 15

15.

Question 16

16.

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

18

9

27

13.5

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

48

24

36

12

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

24

12

16

8

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

a.

b.

c.

d.

What is the point of concurrency shown in this illustration?

centroid

circumcenter

incenter

orthocenter

List the sides from shortest to longest in △KLM.

KM, LM, KL

not enough information

KM, KL, LM

KL, LM, KM

ML, KL, KM

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.

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

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

A

B

C

D

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

What is the point of concurrency shown in this illustration?

incenter

circumcenter

orthocenter

centroid

Include all calculations/work to support your answer choice.

58°

38°

116°

19°

What is the point of concurrency shown in this illustration?

orthocenter

circumcenter

centroid

incenter

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

What is the point of concurrency shown in this illustration?

circumcenter

incenter

orthocenter

centroid

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

incenter

orthocenter

circumcenter

centroid

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

centroid

circumcenter

incenter

orthocenter

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

PR =

5

20

36

40

PS =

11

29

52

58

m∠KML =

25°

50°

12

12.5°

KL =

49°

24.5°

17

34

The incenter is 

Point A shown in the triangle on the left

Point K shown in the triangle on the right

The circumcenter is 

Point A shown in the triangle on the left

Point K shown in the triangle on the right

m∠FGL =

20°

40°

70°

140°

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

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

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

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

Which angle has the least measure?

∠P

∠Q

∠R

Which angle has the greatest measure?

∠P

∠Q

∠R