Chapter 4 (Standard #6) Practice

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1. If two of the angles in a triangle are 50 degrees and 100 degrees what is the third angle?
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Chapter 4 (Standard #6) Practice - Quiz

Use this quiz (and the results) as a way to review/prepare for our test.

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2. How many degrees do the three angles of a triangle add up to?
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3. What does CPCTC stand for?
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4.  A triangle with 90 degree angle is a right triangle.
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5. If triangle ABC = triangle JLK, what side is congruent to AB
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6. Given triangle ABC= triangle FGH, which angle is congruent to angle B?
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7. Why are are the base angles of an isosceles triangle congruent?
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8. What is the name for a triangle that has all three sides the same length?
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9. A triangle can have two acute angles.
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10. What congruence postulate can be used to prove that the two triangles are congruent?
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11. What makes a triangle Isosceles?
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12. If the sides of a triangle are 8 ft, 4 ft, and 5 ft what type of triangle is it?
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13. What congruence postulate can be used to prove that the two triangles are congruent?
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14.    
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15.  A triangle can have two obtuse angles.
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16. Why do the angles of a triangle add up to 180 degrees?
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17. How many sides are congruent in a scalene triangle?
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18. By which reason can it be proven that triangles DAB and DAC are congruent?
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19. Which combination of congruent corresponding parts can you not use to prove two triangles congruent?

Explanation

You remembered that you must have at least one pair of congruent sides.

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20. 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?)

Explanation

As long as two triangles are congruent, then any sides or angles of the triangles are also congruent.

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21. These two triangles are congruent by the _______________.
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22. You can build two triangles that have the same side lengths but are not congruent.
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23. What congruence postulate can be used to prove that the two triangles are congruent?
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24. When given a midpoint, the follow step on a proof should be...
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25.  Which postulate or theorem shows that 
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26. What is y?
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27. which pair of triangles would you use ASA to prove the congruence of the 2 triangles?

Explanation

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)

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28.       Refer to the figure. Complete the congruence statement   
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29. The acute angles of a right triangle are ___________ complementary.

Explanation

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.

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30. How would you classify this triangle?(Check all that apply)
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31. Absent any markings on the two triangles, which of these can be observed simply by looking at any figure?
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32. 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)
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33. SSA is an acceptable theorem to prove triangles are congruent.
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34. Calculate the angle marked with the question mark.  Note: do not measure since the pictures are not exact. Choose the answer below.
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35. What congruence postulate can be used to prove that the two triangles are congruent? 
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36. 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?
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37. Which one do you like?
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38. Given a triangle with side lengths of 20, 13, and 18...   which is the biggest angle in the triangle?
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39. Solve for x.  (Remember figures may not be drawn to scale.  Do not assume.)
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40. Which of the following congruence postulates and theorems are true? (multiple answers)
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41. Classify this triangle (by angles and sides... so select 2 answers).
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42. Which of the 9 possible triangle classifications cannot be drawn on a 2-dimensional surface?  (there may be more than one correct answer)
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43. 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)
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44. Match the definition with its term.
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45. Match the following
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If two of the angles in a triangle are 50 degrees and 100 degrees what...
How many degrees do the three angles of a triangle add up to?
What does CPCTC stand for?
 A triangle with 90 degree angle is a right triangle.
If triangle ABC = triangle JLK, what side is congruent to AB
Given triangle ABC= triangle FGH, which angle is congruent to angle B?
Why are are the base angles of an isosceles triangle congruent?
What is the name for a triangle that has all three sides the same...
A triangle can have two acute angles.
What congruence postulate can be used to prove that the two triangles...
What makes a triangle Isosceles?
If the sides of a triangle are 8 ft, 4 ft, and 5 ft what type of...
What congruence postulate can be used to prove that the two triangles...
   
 A triangle can have two obtuse angles.
Why do the angles of a triangle add up to 180 degrees?
How many sides are congruent in a scalene triangle?
By which reason can it be proven that triangles DAB and DAC are...
Which combination of congruent corresponding parts can...
Given: Triangle ABC is congruent to triangle XYZ ...
These two triangles are congruent by the _______________.
You can build two triangles that have the same side lengths but are...
What congruence postulate can be used to prove that the two triangles...
When given a midpoint, the follow step on a proof should be...
 Which postulate or theorem shows that 
What is y?
Which pair of triangles would you use ASA to prove the congruence of...
      Refer to the figure. Complete the congruence...
The acute angles of a right triangle are ___________ complementary.
How would you classify this triangle?(Check all that apply)
Absent any markings on the two triangles, which of these can be...
Given a triangle with side lengths of 3, 4, and 4.9 ...
SSA is an acceptable theorem to prove triangles are congruent.
Calculate the angle marked with the question mark.  Note: do not...
What congruence postulate can be used to prove that the two triangles...
Given the two pairs of congruent markings so far, which of the...
Which one do you like?
Given a triangle with side lengths of 20, 13, and 18......
Solve for x.  (Remember figures may not be drawn to scale. ...
Which of the following congruence postulates and theorems are true?...
Classify this triangle (by angles and sides... so select 2 answers).
Which of the 9 possible triangle classifications cannot be drawn on a...
You and a friend each build a triangle using 3 toothpicks (assume they...
Match the definition with its term.
Match the following
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