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EE Unit 4 Assessment Triangle Congruence

Last updated over 1 year ago

34 questions

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Question 1

1.

Classify triangle LMN by angles.

Acute

Obtuse

Equilateral

Question 2

2.

What is the value of x?

5.8

6

7

Question 3

3.

How long is side LM?

96

13

49

Question 4

4.

Which triangles are congruent in the figure? REMEMBER the order of the letters does matter.

Triangle KLJ is congruent to Triangle MNL

Triangle JKLis congruent to Triangle LMN

Triangle JKL is congruent to Triangle MNL

Question 5

5.

G is the midpoint of AM and of QT. What extra piece of information do you need to prove that triangle AQG is congruent to triangle MTG by SSS?

AG=GT

AT=MT

MT=AQ

Question 6

6.

Which triangles are congruent in the figure? REMEMBER that the order of the letters matter.

HMN=HGN

HMN=NGH

MNH=HGN

Question 7

7.

How are these 2 triangles congruent? REMEMBER-you can mark vertical angles congruent or reflexive sides congruent.

ASA

AAS

AAA

Question 8

8.

If triangle AEG is congruent to triangle QJZ which figure matches?

Question 9

9.

What is the measurement of angle ACD? HINT: All the angles of a triangle add up to 180 degrees.

60

180

122

Question 10

10.

Classify triangle ABC.

Acute

Right

Obtuse

Question 11

11.

Classify triangle ABD. HINT: You are looking at the big triangle, so you will need to add the angles measurement where angle A is at first, then mark your answer.

Right

Obtuse

Isosceles

Question 12

12.

If ED is congruent to RT, and angle T is congruent to angle D, and angle F is congruent to angle S what method could be used to prove congruence? HINT: Draw and mark the information given on your sheet of paper.

ASA

AAS

SAS

Question 13

13.

What additional piece of information do you need for ASA? REMEMBER-you can mark vertical angles congruent or reflexive sides congruent.

<KLJ = <MLJ

<LMJ = <KJL

KL = ML

Question 14

14.

What extra piece of information do you need to prove that triangle LMN and triangle QRS are congruent by SAS?

<M = <S

<Q = <L

MN = RS

Question 15

15.

What is the value of x? HINT: All the angles of a triangle add up to 180 degrees.

90

58

48

Question 16

16.

What is the value of y? HINT: Find angle C first, then use your rule for what all the angles of a triangle add up to.

62

28

42

Question 17

17.

What is the value of z?

42

48

180

Question 18

18.

What is the best description of this triangle?

Isosceles Obtuse

Scalene Obtuse

Equilateral

Question 19

19.

What is the reason for number 19 in this proof? HINT: What is always your first reason?

Vertical <'s Thm

Given

AAS

Question 20

20.

What is the reason for number 20 in this proof?

AE <'s Thm

Vertical <'s Thm

AAS

Question 21

21.

What is the reason for number 21 in this proof?

AE <'s Thm

Given

AAS

Question 22

22.

Find the value of x. HINT: Remember the exterior angle SUM theorem.

100

20

3

Question 23

23.

If the measures of the angles of a triangle are represented by x-5, 2x+3, and 4x find the value of x. Hint: angles of a triangle always add up to 180°.

180

26

48

Question 24

24.

How would these triangles be proved to be congruent? REMEMBER-you can mark vertical angles congruent or reflexive sides congruent.

AAS

SAS

SSS

Question 25

25.

Triangle QRS is an equilateral triangle. What is the value of x? HINT: Just pick two sides to use to solve.

3

6

12

Question 26

26.

Triangle QRS is an equilateral triangle. How long is side RS? HINT: Plug in your answer from #25 to one of the sides.

21

12

3

Question 27

27.

Given angle A is congruent to angle R.
What sides must you know to be congruent to prove triangle ABC congruent to triangle RST by SAS? Draw a triangle and label what is congruent based on the question.

AB=TS, AC=TR

AB=RS, AC=RT

TR=TR, RS=AB

Question 28

28.

What is the value of x? HINT: Pick two sides to solve.

1

12

16

Question 29

29.

How long is side JK? Plug in answer from number 28.

15

48

60

18

Question 30

30.

What is the value of x? HINT: Exterior angle SUM theorem.

59

27

117

Question 31

31.

What is the value of y?

12

58

117

Question 32

32.

What is the value of x?

34

73

90

Question 33

33.

What is the value of y?

107

100

123

Question 34

34.

If you know that point M is the midpoint of TS and UR, which of the triangle congruence methods could be used to prove triangle TUM and triangle RSM are congruent? Draw this on your record sheet and mark what is congruent.

AAA

ASA

SAS

SSS