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Part 2: Review for QA

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

Identify the hypothesis and conclusion in the given statement.


If the sum of the measures of the interior angles of a polygon is 180°, then the polygon is a triangle.

a)

Hypothesis: If the sum of the measures of the interior angles of a polygon is 180°

Conclusion: Then the polygon is a triangle

b)

Hypothesis: the sum of the measures of the interior angles of a polygon is 180°

Conclusion: the polygon is a triangle

c)

Hypothesis: the polygon is a triangle

Conclusion: the sum of the measures of the interior angles of a polygon is 180°

d)

Hypothesis: If the polygon is a triangle

Conclusion: Then the sum of the measures of the interior angles of a polygon is 180°

2.

Write the converse of the given conditional statement.


If the sum of the measures of the interior angles of a polygon is 180°, then the polygon is a triangle.

a)

If the polygon is a triangle, then the sum of its interior angles is 180°

b)

If the sum of the measures of the interior angles is not 180°, then the polygon is not a triangle.

c)

If the polygon is a triangle, then the sum of its interior angles is not 180°

d)

If the polygon is not a triangle, then the sum of its interior angles is not 180°

3.

Write the inverse of the given conditional statement.


If the sum of the measures of the interior angles of a polygon is 180°, then the polygon is a triangle.

a)

If the polygon is a triangle, then the sum of its interior angles is 180°

b)

If the sum of the measures of the interior angles is not 180°, then the polygon is a triangle.

c)

If the polygon is a triangle, then the sum of its interior angles is not 180°

d)

If the sum of the measures of the interior angles is not 180°, then the polygon is not a triangle.

4.

Write the contrapositive of the given conditional statement.


If the sum of the measures of the interior angles of a polygon is 180°, then the polygon is a triangle.

a)

If the polygon is not a triangle, then the sum of its interior angles is 180°

b)

If the sum of the measures of the interior angles is not 180°, then the polygon is a triangle.

c)

If the polygon is not a triangle, then the sum of its interior angles is not 180°

d)

If the sum of the measures of the interior angles is not 180°, then the polygon is not a triangle.

5.

Given the conditional statement and its converse, can we write it in biconditional statement? Why?


Conditional Statement:

If the sum of the measures of the interior angles of a polygon is 180°, then the polygon is a triangle.


Converse:

If the polygon is a triangle, then the sum of its interior angles is 180°

a)

No, because the conditional statement is true while its converse is false.

b)

No, because the conditional statement is false while its converse is true.

c)

Yes, because the truth value of the conditional statement and its converse is true.

d)

Yes, because the truth value of the conditional statement and its converse is false.

6.

A television studio will broadcast a movie if the baseball game is rained out. If the movie is not broadcast, what can you conclude?

a)

The baseball game was rained out.

b)

The baseball game was not rained out.

7.

Which of the following is defined by the statement, "If two angles are supplementary, then the sum of their measures is 180°" ?

a)

Triangle Angle Sum Theorem

b)

Definition of Obtuse Angle

c)

Definition of Complementary Angles

d)

Definition of Supplementary Angles

8.

Which of the following is defined by the statement, “If ∠1 and ∠2 are vertical angles, then they are congruent”?

a)

Vertical Angle Theorem

b)

External Angle Theorem

c)

Supplement Postulate

d)

Angle Addition Postulate

9.

What property of equality is the given statement? "If ME = OK , then OK = ME."

a)

Reflexive Property of Equality

b)

Symmetric Property of Equality

c)

Transitive Property of Equality

d)

Substitution Property of Equality

10.

What property of equality is the given statement?


"If a + b = 4 and b = 3 , then a + 3 = 4”

a)

Reflexive Property of Equality

b)

Symmetric Property of Equality

c)

Transitive Property of Equality

d)

Substitution Property of Equality

11.
a)

WR = SY

b)

AR = SK

c)

AW = KS

d)

RA = YK

12.

a)

SAS Postulate

b)

SSS Postulate

c)

ASA Postulate

d)

SAA or AAS Theorem

13.

a)

SAS Postulate

b)

SSS Postulate

c)

ASA Postulate

d)

SAA or AAS Theorem

14.

a)

x = 4

b)

x = 3

c)

x = 2

d)

x = 1

15.

a)

47

b)

58

c)

75

d)

105