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3.1: Conditional Statements

Difficulty Level: At Grade Created by: CK-12

Problem 1 – Slopes of lines

Open a new Cabri Jr. file for each part (A, B, and C).

A. Construct a line and a point not on the line. Construct a second line through the point that is parallel to the first line. Find the slopes of both lines.

If two lines are parallel, then the slopes of the lines are ______________

Converse: ______________________________

Inverse: _______________________________

Contrapositive: _____________________________

Determine whether the above conditional statements are true or false. If you decide a statement is false, sketch a counterexample.

B. Construct a line and a point not on the line. Construct a second line through the point that is perpendicular to the first line. Find the slopes of both lines.

If two lines are perpendicular, then the slopes of the lines are ______________

Converse: ______________________________

Inverse: _______________________________

Contrapositive: _____________________________

Determine whether the above conditional statements are true or false. If you decide a statement is false, sketch a counterexample.

C. Construct two lines that have the same yintercept.

If two different lines have the same yintercept, then the lines have different slopes.

Converse: ______________________________

Inverse: ______________________________

Contrapositive: ______________________________

Determine whether the above conditional statements are true or false. If you decide a statement is false, sketch a counterexample.

Problem 2 – Collinear and noncollinear segments

A. Use the Cabri Jr. file COLSEG to complete the following.

Find the distances AB, BC, and AC. Drag the points to create different lengths.

AB AB AB BC BC BC AC AC AC AB+BC AB+BC AB+BC 

When do the lengths AB and BC add up to equal AC? __________________

Write a conditional statement to express your conclusion:

If __________________, then __________________

B. Use the Cabri Jr. file NOCOLSEG to complete the following.

Now explore what happens if AB, BC, and AC are not collinear.

AB AB AB BC BC BC AC AC AC AB+BC AB+BC AB+BC 

What is the relationship between AB+BC and AC? _________________

Write a conditional statement to express your conclusion:

If __________________, then __________________

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Date Created:
Feb 23, 2012
Last Modified:
Nov 03, 2014
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TI.MAT.ENG.SE.1.Geometry.3.1
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