Chapter 4 (Standard #6) Practice

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2. If two of the angles in a triangle are 50 degrees and 100 degrees what is the third angle?

10 degrees

50 degrees

90 degrees

30 degrees

3. How many degrees do the three angles of a triangle add up to?

90

180

200

360

4. Given triangle ABC= triangle FGH, which angle is congruent to angle B?

Angle G

Angle F

Angle H

5. If triangle ABC = triangle JLK, what side is congruent to AB

JK

KL

JL

6. A triangle with 90 degree angle is a right triangle.

True

False

7. Why are are the base angles of an isosceles triangle congruent?

If folded in half, they based angles would match up perfectly

They just are

8. A triangle can have two acute angles.

True

False

9. What is the name for a triangle that has all three sides the same length?

Scalene

Isosceles

Equilateral

Obtuse

10. What congruence postulate can be used to prove that the two triangles are congruent?

SSS

ASA

SAS

11. What makes a triangle Isosceles?

All three sides are the same length

Two of the sides are the same length

None of the sides are the same length

Four sides are the are the same length

12. What congruence postulate can be used to prove that the two triangles are congruent?

SAS

SSS

ASA

13. If the sides of a triangle are 8 ft, 4 ft, and 5 ft what type of triangle is it?

Scalene

Isosceles

Equilateral

Quadrilateral

14. A triangle can have two obtuse angles.

True

False

15.

SAS Postulate

ASA Postulate

AAA Postulate

SSS Postulate

16. Why do the angles of a triangle add up to 180 degrees?

They just do

It is half a circle

17. How many sides are congruent in a scalene triangle?

0

2

3

18. By which reason can it be proven that triangles DAB and DAC are congruent?

AAA

AAS

SSA

SSS

19. Which combination of congruent corresponding parts can you not use to prove two triangles congruent?

SAA

AAA

ASA

SAS

SSS

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

Explanation

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

20. You can build two triangles that have the same side lengths but are not congruent.

True

False

21. These two triangles are congruent by the _______________.

SAS Postulate

SSA Postulate

SSS Postulate

ASA Postulate

22. 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?)

Corresponding parts of congruent triangles are congruent

ASA Postulate

SAS Postulate

SSS Posulate

AAS Theorem

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

Explanation

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

23. When given a midpoint, the follow step on a proof should be...

2 congruent sides

2 congruent angles

2 congruent triangles

Option 4

24. What congruence postulate can be used to prove that the two triangles are congruent?

SSS

AAS

ASA

25. Which postulate or theorem shows that

ASA Postulate

SAS Postulate

SSS Postulate

AAS Theorem

26. What is y?

160

20

80

27. 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)

Acute

Right

Obtuse

28. Absent any markings on the two triangles, which of these can be observed simply by looking at any figure?

Congruent angles via parallel sides (alternate interior angles)

Congruent sides via shared side (reflexive property)

Congruent angles via perpendicular sides (right angles)

Congruent sides via midpoint (definition of midpoint)

Congruent angles via angle bisector (definition of angle bisector)

29. How would you classify this triangle?(Check all that apply)

Scalene

Right

Isosceles

Acute

Equlateral

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30. The acute angles of a right triangle are ___________ complementary.

Always

Never

Sometimes

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.

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.

31. Refer to the figure. Complete the congruence statement

Triangle VTU

Triangle TUV

Triangle VUT

Triangle UTV

32. which pair of triangles would you use ASA to prove the congruence of the 2 triangles?

A

B

C

D

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)

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)

33. SSA is an acceptable theorem to prove triangles are congruent.

True

False

34. Calculate the angle marked with the question mark. Note: do not measure since the pictures are not exact. Choose the answer below.

90 degreees

41 degree

40 degrees

49 degrees

35. Which one do you like?

Option 1

Option 2

Option 3

Option 4

36. What congruence postulate can be used to prove that the two triangles are congruent?

ASA

AAS

SAS

37. 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?

Sides on the left

Sides on the bottom

Angles on the bottom left

Angles on the bottom right

38. Given a triangle with side lengths of 20, 13, and 18... which is the biggest angle in the triangle?

The angle opposite the 20 side

The angle opposite the 13 side

The angle opposite the 18 side

It cannot be determined.

39. Solve for x. (Remember figures may not be drawn to scale. Do not assume.)

180 degrees

120 degrees

90 degrees

60 degrees

Cannot be determined

40. Which of the following congruence postulates and theorems are true? (multiple answers)

SSS

SSA

SAS

AAS

ASA

AAA

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41. Which of the 9 possible triangle classifications cannot be drawn on a 2-dimensional surface? (there may be more than one correct answer)

Acute scalene

Acute isosceles

Acute equilateral

Right scalene

Right isosceles

Right equilateral

Obtuse scalene

Obtuse isosceles

Obtuse equilateral

All 9 of these are possible on a flat surface

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42. Classify this triangle (by angles and sides... so select 2 answers).

Acute

Right

Obtuse

Equilateral

Isosceles

Scalene

Cannot be determined

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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)

Congruent (due to SAS)

Congruent (due to SSS)

Equilateral

Equiangular

Acute

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44. Match the definition with its term.

A triangle with 2 congruent sides

to cut into 2 congruent parts

2 lines that never intersect (same plane)

the same measure

inside a shape

greater than 90 degrees

2 angles formed by intersecting lines

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45. Match the following

Choice 1

Choice 2

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Chapter 4 (Standard #6) Practice

1. What does CPCTC stand for?

2.

What first name or nickname would you like us to use?

2. If two of the angles in a triangle are 50 degrees and 100 degrees what is the third angle?

3. How many degrees do the three angles of a triangle add up to?

4. Given triangle ABC= triangle FGH, which angle is congruent to angle B?

5. If triangle ABC = triangle JLK, what side is congruent to AB

6. A triangle with 90 degree angle is a right triangle.

7. Why are are the base angles of an isosceles triangle congruent?

8. A triangle can have two acute angles.

9. What is the name for a triangle that has all three sides the same length?

10. What congruence postulate can be used to prove that the two triangles are congruent?

11. What makes a triangle Isosceles?

12. What congruence postulate can be used to prove that the two triangles are congruent?

13. If the sides of a triangle are 8 ft, 4 ft, and 5 ft what type of triangle is it?

14. A triangle can have two obtuse angles.

15.

16. Why do the angles of a triangle add up to 180 degrees?

17. How many sides are congruent in a scalene triangle?

18. By which reason can it be proven that triangles DAB and DAC are congruent?

19. Which combination of congruent corresponding parts can you not use to prove two triangles congruent?

20. You can build two triangles that have the same side lengths but are not congruent.

21. These two triangles are congruent by the _______________.

22. 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?)

23. When given a midpoint, the follow step on a proof should be...

24. What congruence postulate can be used to prove that the two triangles are congruent?

25. Which postulate or theorem shows that

26. What is y?

27. 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)

28. Absent any markings on the two triangles, which of these can be observed simply by looking at any figure?

29. How would you classify this triangle?(Check all that apply)

30. The acute angles of a right triangle are ___________ complementary.

31. Refer to the figure. Complete the congruence statement

32. which pair of triangles would you use ASA to prove the congruence of the 2 triangles?

33. SSA is an acceptable theorem to prove triangles are congruent.

34. Calculate the angle marked with the question mark. Note: do not measure since the pictures are not exact. Choose the answer below.

35. Which one do you like?

36. What congruence postulate can be used to prove that the two triangles are congruent?

37. 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?

38. Given a triangle with side lengths of 20, 13, and 18... which is the biggest angle in the triangle?

39. Solve for x. (Remember figures may not be drawn to scale. Do not assume.)

40. Which of the following congruence postulates and theorems are true? (multiple answers)

41. Which of the 9 possible triangle classifications cannot be drawn on a 2-dimensional surface? (there may be more than one correct answer)

42. Classify this triangle (by angles and sides... so select 2 answers).

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)

44. Match the definition with its term.

45. Match the following