Chapter 4 (Standard #6) Practice
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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
- 3.By which reason can it be proven that triangles DAB and DAC are congruent?
- A.
AAA
- B.
AAS
- C.
SSA
- D.
SSS
- 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
- 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
- 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
- 7.How many degrees do the three angles of a triangle add up to?
- A.
90
- B.
180
- C.
200
- D.
360
- 8.What is the name for a triangle that has all three sides the same length?
- A.
Scalene
- B.
Isosceles
- C.
Equilateral
- D.
Obtuse
- 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
- 10.A triangle with 90 degree angle is a right triangle.
- A.
True
- B.
False
- 11.A triangle can have two obtuse angles.
- A.
True
- B.
False
- 12.A triangle can have two acute angles.
- A.
True
- B.
False
- 13.The acute angles of a right triangle are ___________ complementary.
- A.
Always
- B.
Never
- C.
Sometimes
- 14.
![Calculate the angle marked with the question mark. Note: do not measure since the pictures are not exact. Choose the answer below.]( "Calculate the angle marked with the question mark. Note: do not measure since the pictures are not exact. Choose the answer below.")
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
- 15.You can build two triangles that have the same side lengths but are not congruent.
- A.
True
- B.
False
- 16.How would you classify this triangle?(Check all that apply)
- A.
Scalene
- B.
Right
- C.
Isosceles
- D.
Acute
- E.
Equlateral
- 17.
![What congruence postulate can be used to prove that the two triangles are congruent?]( "What congruence postulate can be used to prove that the two triangles are congruent?")
What congruence postulate can be used to prove that the two triangles are congruent?- A.
SAS
- B.
SSS
- C.
ASA
- 18.
![What congruence postulate can be used to prove that the two triangles are congruent?]( "What congruence postulate can be used to prove that the two triangles are congruent?")
What congruence postulate can be used to prove that the two triangles are congruent?- A.
SSS
- B.
ASA
- C.
SAS
- 19.What is y?
- A.
160
- B.
20
- C.
80
- 20.If triangle ABC = triangle JLK, what side is congruent to AB
- A.
JK
- B.
KL
- C.
JL
- 21.How many sides are congruent in a scalene triangle?
- A.
0
- B.
2
- C.
3
- 22.Given triangle ABC= triangle FGH, which angle is congruent to angle B?
- A.
Angle G
- B.
Angle F
- C.
Angle H
- 23.SSA is an acceptable theorem to prove triangles are congruent.
- A.
True
- 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
- 25.
![Solve for x. (Remember figures may not be drawn to scale. Do not assume.)]( "Solve for x. (Remember figures may not be drawn to scale. Do not assume.)")
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
- 26.
![Classify this triangle (by angles and sides... so select 2 answers).]( "Classify this triangle (by angles and sides... so select 2 answers).")
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
- 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
- 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.
- 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
- 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?]( "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?")
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
- 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
- 32.
![These two triangles are congruent by the _______________.]( "These two triangles are congruent by the _______________.")
These two triangles are congruent by the _______________.- A.
SAS Postulate
- B.
SSA Postulate
- C.
SSS Postulate
- D.
ASA Postulate
- 33.
![]()
- A.
SAS Postulate
- B.
ASA Postulate
- C.
AAA Postulate
- D.
SSS Postulate
- 34.
![Which postulate or theorem shows that]( "Which postulate or theorem shows that")
Which postulate or theorem shows that- A.
ASA Postulate
- B.
SAS Postulate
- C.
SSS Postulate
- D.
AAS Theorem
- 35.
![Refer to the figure. Complete the congruence statement]( "Refer to the figure. Complete the congruence statement")
Refer to the figure. Complete the congruence statement- A.
Triangle VTU
- B.
Triangle TUV
- C.
Triangle VUT
- D.
Triangle UTV
- 36.What congruence postulate can be used to prove that the two triangles are congruent?
- A.
ASA
- B.
AAS
- C.
SAS
- 37.
![What congruence postulate can be used to prove that the two triangles are congruent?]( "What congruence postulate can be used to prove that the two triangles are congruent?")
What congruence postulate can be used to prove that the two triangles are congruent?- A.
SSS
- B.
AAS
- 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)
- 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
- 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
- 41.Which one do you like?
- A.
Option 1
- B.
Option 2
- C.
Option 3
- D.
Option 4
- 42.What does CPCTC stand for?
- 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
- 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
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