Conditional Statements and Related Conditional

Conditional Statements and Related Conditional

9th - 12th Grade

20 Qs

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Conditional Statements and Related Conditional

Conditional Statements and Related Conditional

Assessment

Quiz

Mathematics

9th - 12th Grade

Practice Problem

Easy

CCSS
L.2.1F, HSG.CO.B.7, 8.G.A.2

+10

Standards-aligned

Created by

Nguyen To

Used 1+ times

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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 5 pts

Conditional Statement: If a triangle has 3 congruent sides, then it's an equilateral triangle.


Identify the converse of this conditional statement:

If a triangle does not have 3 congruent sides, then it's not an equilateral triangle.

If a triangle is equilateral, then it has 3 congruent sides.

If a triangle is not equilateral, then it does not have 3 congruent sides.

If a triangle has 3 congruent sides, then it's not an equilateral triangle.

Answer explanation

The converse of a conditional statement reverses the hypothesis and conclusion. Here, the original statement is 'If a triangle has 3 congruent sides, then it's an equilateral triangle.' The converse is 'If a triangle is equilateral, then it has 3 congruent sides.'

2.

MULTIPLE CHOICE QUESTION

3 mins • 5 pts

Conditional Statement: If a triangle has 3 congruent sides, then it's an equilateral triangle.


Identify the inverse of this conditional statement:

If a triangle does not have 3 congruent sides, then it's not an equilateral triangle.

If a triangle is equilateral, then it has 3 congruent sides.

If a triangle is not equilateral, then it does not have 3 congruent sides.

If a triangle has 3 congruent sides, then it's not an equilateral triangle.

Answer explanation

The inverse of a conditional statement "If P, then Q" is "If not P, then not Q." Here, P is "a triangle has 3 congruent sides" and Q is "it's an equilateral triangle." Thus, the correct inverse is "If a triangle does not have 3 congruent sides, then it's not an equilateral triangle."

Tags

CCSS.HSG.CO.B.7

3.

MATCH QUESTION

3 mins • 5 pts

Write the converse, inverse, and contrapositive of each statement. (match)

If segments are congruent, then they have equal measures.

contrapositive

If segments are not congruent, then they do not have equal measures.

inverse

If segments do not have equal measures, then they are not congruent.

converse

If segments have equal measures, then they are congruent.

Tags

CCSS.HSG.CO.B.7

4.

MULTIPLE CHOICE QUESTION

3 mins • 5 pts

Conditional Statement: If a triangle has 3 congruent sides, then it's an equilateral triangle.


Identify the contrapositive of this conditional statement:

If a triangle does not have 3 congruent sides, then it's not an equilateral triangle.

If a triangle is equilateral, then it has 3 congruent sides.

If a triangle is not equilateral, then it does not have 3 congruent sides.

If a triangle has 3 congruent sides, then it's not an equilateral triangle.

Answer explanation

The contrapositive of a conditional statement "If P, then Q" is "If not Q, then not P." Here, "not Q" is "not an equilateral triangle" and "not P" is "does not have 3 congruent sides." Thus, the correct choice is: If a triangle is not equilateral, then it does not have 3 congruent sides.

5.

MULTIPLE CHOICE QUESTION

3 mins • 5 pts

Conditional Statement: If an angle measures 30 degrees, then it's an acute angle.


Identify the converse of this conditional statement:

If an angle measures 30 degrees, then it's not an acute angle.

If an angle does not measure 30 degrees, then it's not an acute angle.

If an angle is not acute, then it does not measure 30 degrees.

If an angle is acute, then it measures 30 degrees.

Answer explanation

The converse of a conditional statement "If P, then Q" is "If Q, then P." Here, the original statement is "If an angle measures 30 degrees (P), then it's an acute angle (Q)." Thus, the converse is "If an angle is acute (Q), then it measures 30 degrees (P)."

6.

MULTIPLE CHOICE QUESTION

3 mins • 5 pts

Conditional Statement: If an angle measures 30 degrees, then it's an acute angle.


Identify the inverse of this conditional statement:

If an angle measures 30 degrees, then it's not an acute angle.

If an angle does not measure 30 degrees, then it's not an acute angle.

If an angle is not acute, then it does not measure 30 degrees.

If an angle is acute, then it measures 30 degrees.

Answer explanation

The inverse of a conditional statement "If P, then Q" is "If not P, then not Q." Here, P is "an angle measures 30 degrees" and Q is "it's an acute angle." Thus, the correct inverse is "If an angle does not measure 30 degrees, then it's not an acute angle."

7.

MULTIPLE CHOICE QUESTION

3 mins • 5 pts

Conditional Statement: If an angle measures 30 degrees, then it's an acute angle.


Identify the contrapositive of this conditional statement:

If an angle measures 30 degrees, then it's not an acute angle.

If an angle does not measure 30 degrees, then it's not an acute angle.

If an angle is not acute, then it does not measure 30 degrees.

If an angle is acute, then it measures 30 degrees.

Answer explanation

The contrapositive of a conditional statement "If P, then Q" is "If not Q, then not P." Here, "not Q" is "not acute" and "not P" is "not measuring 30 degrees." Thus, the correct contrapositive is: If an angle is not acute, then it does not measure 30 degrees.

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