# CONDITIONAL STATEMENTS IN GEOMETRY WORKSHEET

## About "Conditional statements in geometry worksheet"

Conditional statements in geometry worksheet

Worksheet given in this section is much useful to the students who would like to practice problems on conditional statements in geometry.

## Conditional statements in geometry worksheet - Problems

Problem 1 :

Rewrite the following conditional statements in if-then form.

(i)  Two points are collinear if they lie on the same line.

(ii)  A number is divisible by 9 is also divisible by 3.

(iii)  All sharks have a boneless skeleton.

Problem 2 :

Write a counter example to show that the following conditional statement is false.

If x² = 25, then x = 5.

Problem 3 :

Write the converse of the following conditional statement.

Statement :

"If two segments have the same length, then they are congruent"

Problem 4 :

Write (a) inverse, (b) converse, (c) contrapositive of the following statement.

Statement :

"If there is snow on the ground, the flowers are not in bloom"

## Conditional statements in geometry worksheet - Solution

Problem 1 :

Rewrite the following conditional statements in if-then form.

(i)  Two points are collinear if they lie on the same line.

(ii)  A number is divisible by 9 is also divisible by 3.

(iii)  All sharks have a boneless skeleton.

Solution :

(i)  If two points lie on the same line, then they are collinear.

(ii)  If a number is divisible by 9, then it is divisible by 3.

(iii)  If a fish is a shark, then it would have a boneless skeleton.

Problem 2 :

Write a counter example to show that the following conditional statement is false.

If x² = 25, then x = 5.

Solution :

As a counter example, let us take x = -5.

The hypothesis is true, because (-5)² = 25. But, the conclusion is false, because it is given x = 5.

It implies that the given conditional statement is false.

Problem 3 :

Write the converse of the following conditional statement.

Statement :

"If two segments have the same length, then they are congruent"

Solution :

Converse :

"If two segments are congruent, then they have the same length"

Problem 4 :

Write (a) inverse, (b) converse, (c) contrapositive of the following statement.

Statement :

"If there is snow on the ground, the flowers are not in bloom"

Solution :

(a) Inverse :

"If there is no snow on the ground, the flowers are in bloom"

(b) Converse :

"If flowers are not in bloom, then there is snow on the ground"

(b) Contrapositive :

"If flowers are in bloom, then there is no snow on the ground"

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