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Conditional Statement

Total questions: 11

Worksheet time: 28mins

Name
Class
Date
1.

Identify the hypothesis and conclusion of the given conditional statement.


If a rhombus has a right angle, then it is a square.

a)

Hypothesis: It is a square.

Conclusion: Rhombus has a right angle.

b)

Hypothesis: Rhombus has a right angle

Conclusion: It is a square.

2.

Identify the hypothesis and conclusion of the given conditional statement.


If two of the angles of a triangle have the same measures, then it is isosceles.

a)

Hypothesis: It is isosceles.

Conclusion: Two of the angles of a triangle have the same measures

b)

Hypothesis: Two of the angles of a triangle have the same measures

Conclusion: It is isosceles.

3.

Write the given conditional statement in if-then form.


Opposite sides of a parallelogram are congruent.

4 lines
4.

Write the given conditional statement in if-then form.


Three non-collinear points determine exactly one plane.

4 lines
5.

Write the statement as a biconditional.


Conditional Statement: If two angles are complementary, then the sum of their measures is 90.

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6.

What is the converse of the conditional statement?


If a parallelogram has a right angle, then it is a rectangle.

4 lines
7.

What is the inverse of the conditional statement?


If a parallelogram has a right angle, then it is a rectangle.

4 lines
8.

What is the contrapositive of the conditional statement?


If a parallelogram has a right angle, then it is a rectangle.

4 lines
9.

What is the converse of the conditional statement?


If U is the midpoint of HT, then HU is congruent to UT.

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10.

What is the inverse of the conditional statement?


If U is the midpoint of HT, then HU is congruent to UT.

4 lines
11.

What is the contrapositive of the conditional statement?


If U is the midpoint of HT, then HU is congruent to UT.

4 lines