Chapter 4 (Standard #6) Practice
Use this quiz (and the results) as a way to review/prepare for our test.
- 1.
Why does AAA not work as a reason to prove triangles congruent?
- 2.
Given: Triangle ABC is congruent to triangle XYZ Prove: Side AB is congruent to side XY (what postulate, theorem, or definition confirms that side AB is congruent to side XY?)
- A.
Corresponding parts of congruent triangles are congruent
- B.
ASA Postulate
- C.
SAS Postulate
- D.
SSS Posulate
- E.
AAS Theorem
Correct Answer
A. Corresponding parts of congruent triangles are congruentExplanation
As long as two triangles are congruent, then any sides or angles of the triangles are also congruent.Rate this question:
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- 3.
By which reason can it be proven that triangles DAB and DAC are congruent?
- A.
AAA
- B.
AAS
- C.
SSA
- D.
SSS
Correct Answer
B. AAS -
- 4.
Which combination of congruent corresponding parts can you not use to prove two triangles congruent?
- A.
SAA
- B.
AAA
- C.
ASA
- D.
SAS
- E.
SSS
Correct Answer
B. AAAExplanation
You remembered that you must have at least one pair of congruent sides.Rate this question:
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- 5.
If two of the angles in a triangle are 50 degrees and 100 degrees what is the third angle?
- A.
10 degrees
- B.
50 degrees
- C.
90 degrees
- D.
30 degrees
Correct Answer
D. 30 degrees -
- 6.
If the sides of a triangle are 8 ft, 4 ft, and 5 ft what type of triangle is it?
- A.
Scalene
- B.
Isosceles
- C.
Equilateral
- D.
Quadrilateral
Correct Answer
A. Scalene -
- 7.
How many degrees do the three angles of a triangle add up to?
- A.
90
- B.
180
- C.
200
- D.
360
Correct Answer
B. 180 -
- 8.
What is the name for a triangle that has all three sides the same length?
- A.
Scalene
- B.
Isosceles
- C.
Equilateral
- D.
Obtuse
Correct Answer
C. Equilateral -
- 9.
What makes a triangle Isosceles?
- A.
All three sides are the same length
- B.
Two of the sides are the same length
- C.
None of the sides are the same length
- D.
Four sides are the are the same length
Correct Answer
B. Two of the sides are the same length -
- 10.
A triangle with 90 degree angle is a right triangle.
- A.
True
- B.
False
Correct Answer
A. True -
- 11.
A triangle can have two obtuse angles.
- A.
True
- B.
False
Correct Answer
B. False -
- 12.
A triangle can have two acute angles.
- A.
True
- B.
False
Correct Answer
A. True -
- 13.
The acute angles of a right triangle are ___________ complementary.
- A.
Always
- B.
Never
- C.
Sometimes
Correct Answer
A. AlwaysExplanation
Remember complimentary means that the angles measure 90 degrees. Since the right angle measures 90 degrees, the remaining angles must measure 90 degrees as well.Rate this question:
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- 14.
Calculate the angle marked with the question mark. Note: do not measure since the pictures are not exact. Choose the answer below.
- A.
90 degreees
- B.
41 degree
- C.
40 degrees
- D.
49 degrees
Correct Answer
B. 41 degree -
- 15.
You can build two triangles that have the same side lengths but are not congruent.
- A.
True
- B.
False
Correct Answer
B. False -
- 16.
How would you classify this triangle?(Check all that apply)
- A.
Scalene
- B.
Right
- C.
Isosceles
- D.
Acute
- E.
Equlateral
Correct Answer(s)
B. Right
C. Isosceles -
- 17.
What congruence postulate can be used to prove that the two triangles are congruent?
- A.
SAS
- B.
SSS
- C.
ASA
Correct Answer
B. SSS -
- 18.
What congruence postulate can be used to prove that the two triangles are congruent?
- A.
SSS
- B.
ASA
- C.
SAS
Correct Answer
C. SAS -
- 19.
What is y?
- A.
160
- B.
20
- C.
80
Correct Answer
C. 80 -
- 20.
If triangle ABC = triangle JLK, what side is congruent to AB
- A.
JK
- B.
KL
- C.
JL
Correct Answer
C. JL -
- 21.
How many sides are congruent in a scalene triangle?
- A.
0
- B.
2
- C.
3
Correct Answer
A. 0 -
- 22.
Given triangle ABC= triangle FGH, which angle is congruent to angle B?
- A.
Angle G
- B.
Angle F
- C.
Angle H
Correct Answer
A. Angle G -
- 23.
SSA is an acceptable theorem to prove triangles are congruent.
- A.
True
- B.
False
Correct Answer
B. False -
- 24.
Which of the following congruence postulates and theorems are true? (multiple answers)
- A.
SSS
- B.
SSA
- C.
SAS
- D.
AAS
- E.
ASA
- F.
AAA
Correct Answer(s)
A. SSS
C. SAS
D. AAS
E. ASA -
- 25.
Solve for x. (Remember figures may not be drawn to scale. Do not assume.)
- A.
180 degrees
- B.
120 degrees
- C.
90 degrees
- D.
60 degrees
- E.
Cannot be determined
Correct Answer
D. 60 degrees -
- 26.
Classify this triangle (by angles and sides... so select 2 answers).
- A.
Acute
- B.
Right
- C.
Obtuse
- D.
Equilateral
- E.
Isosceles
- F.
Scalene
- G.
Cannot be determined
Correct Answer(s)
A. Acute
E. Isosceles -
- 27.
Which of the 9 possible triangle classifications cannot be drawn on a 2-dimensional surface? (there may be more than one correct answer)
- A.
Acute scalene
- B.
Acute isosceles
- C.
Acute equilateral
- D.
Right scalene
- E.
Right isosceles
- F.
Right equilateral
- G.
Obtuse scalene
- H.
Obtuse isosceles
- I.
Obtuse equilateral
- J.
All 9 of these are possible on a flat surface
Correct Answer(s)
F. Right equilateral
I. Obtuse equilateral -
- 28.
Given a triangle with side lengths of 20, 13, and 18... which is the biggest angle in the triangle?
- A.
The angle opposite the 20 side
- B.
The angle opposite the 13 side
- C.
The angle opposite the 18 side
- D.
It cannot be determined.
Correct Answer
A. The angle opposite the 20 side -
- 29.
Given a triangle with side lengths of 3, 4, and 4.9 classify the triangle by its angles. This is a question we have not covered, but you can figure it out. (hint: think about a 3-4-5 right triangle)
- A.
Acute
- B.
Right
- C.
Obtuse
Correct Answer
A. Acute -
- 30.
Given the two pairs of congruent markings so far, which of the following pairs of congruent corresponding parts would NOT be helpful in trying to prove the two triangles congruent?
- A.
Sides on the left
- B.
Sides on the bottom
- C.
Angles on the bottom left
- D.
Angles on the bottom right
Correct Answer
B. Sides on the bottom -
- 31.
which pair of triangles would you use ASA to prove the congruence of the 2 triangles?
- A.
A
- B.
B
- C.
C
- D.
D
Correct Answer
C. CExplanation
The triangles shown in choice C can be proven congruent by ASA. The triangles have 2 pairs of congruent angles and pair of congruent included sides. (may be multiple answers)Rate this question:
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- 32.
These two triangles are congruent by the _______________.
- A.
SAS Postulate
- B.
SSA Postulate
- C.
SSS Postulate
- D.
ASA Postulate
Correct Answer
C. SSS Postulate -
- 33.
- A.
SAS Postulate
- B.
ASA Postulate
- C.
AAA Postulate
- D.
SSS Postulate
Correct Answer
A. SAS Postulate -
- 34.
Which postulate or theorem shows that
- A.
ASA Postulate
- B.
SAS Postulate
- C.
SSS Postulate
- D.
AAS Theorem
Correct Answer
D. AAS Theorem -
- 35.
Refer to the figure. Complete the congruence statement
- A.
Triangle VTU
- B.
Triangle TUV
- C.
Triangle VUT
- D.
Triangle UTV
Correct Answer
C. Triangle VUT -
- 36.
What congruence postulate can be used to prove that the two triangles are congruent?
- A.
ASA
- B.
AAS
- C.
SAS
Correct Answer
B. AAS -
- 37.
What congruence postulate can be used to prove that the two triangles are congruent?
- A.
SSS
- B.
AAS
- C.
ASA
Correct Answer
C. ASA -
- 38.
Absent any markings on the two triangles, which of these can be observed simply by looking at any figure?
- A.
Congruent angles via parallel sides (alternate interior angles)
- B.
Congruent sides via shared side (reflexive property)
- C.
Congruent angles via perpendicular sides (right angles)
- D.
Congruent sides via midpoint (definition of midpoint)
- E.
Congruent angles via angle bisector (definition of angle bisector)
Correct Answer
B. Congruent sides via shared side (reflexive property) -
- 39.
Why do the angles of a triangle add up to 180 degrees?
- A.
They just do
- B.
It torn off a triangle and placed adjacent to each other with a common vertex, they would form a line (which is 180 degrees)
- C.
It is half a circle
Correct Answer
B. It torn off a triangle and placed adjacent to each other with a common vertex, they would form a line (which is 180 degrees) -
- 40.
Why are are the base angles of an isosceles triangle congruent?
- A.
If folded in half, they based angles would match up perfectly
- B.
They just are
Correct Answer
A. If folded in half, they based angles would match up perfectly -
- 41.
Which one do you like?
- A.
Option 1
- B.
Option 2
- C.
Option 3
- D.
Option 4
Correct Answer
A. Option 1 -
- 42.
What does CPCTC stand for?
Correct Answer
corresponding parts of congruent triangles are congruent, corresponding parts congruent triangles congruent - 43.
When given a midpoint, the follow step on a proof should be...
- A.
2 congruent sides
- B.
2 congruent angles
- C.
2 congruent triangles
- D.
Option 4
Correct Answer
A. 2 congruent sides -
- 44.
You and a friend each build a triangle using 3 toothpicks (assume they are all the same size). Which of the following describes the triangles you create? (Multiple answers)
- A.
Congruent (due to SAS)
- B.
Congruent (due to SSS)
- C.
Equilateral
- D.
Equiangular
- E.
Acute
Correct Answer(s)
B. Congruent (due to SSS)
C. Equilateral
D. Equiangular
E. Acute -
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