Which triangles are congruent in the figure? REMEMBER the order of the letters does matter.
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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?
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Question 6
6.
Which triangles are congruent in the figure? REMEMBER that the order of the letters matter.
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Question 7
7.
How are these 2 triangles congruent? REMEMBER-you can mark vertical angles congruent or reflexive sides congruent.
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Question 8
8.
If triangle AEG is congruent to triangle QJZ which figure matches?
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Question 9
9.
What is the measurement of angle ACD? HINT: All the angles of a triangle add up to 180 degrees.
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Question 10
10.
Classify triangle ABC.
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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.
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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.
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Question 13
13.
What additional piece of information do you need for ASA? REMEMBER-you can mark vertical angles congruent or reflexive sides congruent.
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Question 14
14.
What extra piece of information do you need to prove that triangle LMN and triangle QRS are congruent by SAS?
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Question 15
15.
What is the value of x? HINT: All the angles of a triangle add up to 180 degrees.
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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.
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Question 17
17.
What is the value of z?
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Question 18
18.
What is the best description of this triangle?
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Question 19
19.
What is the reason for number 19 in this proof? HINT: What is always your first reason?
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Question 20
20.
What is the reason for number 20 in this proof?
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Question 21
21.
What is the reason for number 21 in this proof?
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Question 22
22.
Find the value of x. HINT: Remember the exterior angle SUM theorem.
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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°.
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Question 24
24.
How would these triangles be proved to be congruent? REMEMBER-you can mark vertical angles congruent or reflexive sides congruent.
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Question 25
25.
Triangle QRS is an equilateral triangle. What is the value of x? HINT: Just pick two sides to use to solve.
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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.
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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.
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Question 28
28.
What is the value of x? HINT: Pick two sides to solve.
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Question 29
29.
How long is side JK? Plug in answer from number 28.
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Question 30
30.
What is the value of x? HINT: Exterior angle SUM theorem.
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Question 31
31.
What is the value of y?
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Question 32
32.
What is the value of x?
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Question 33
33.
What is the value of y?
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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.