<meta http-equiv="refresh" content="1; url=/nojavascript/"> Conditional Statements | CK-12 Foundation
Dismiss
Skip Navigation
You are reading an older version of this FlexBook® textbook: CK-12 Texas Instruments Geometry Student Edition Go to the latest version.

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 y-intercept.

If two different lines have the same y-intercept, 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 \ \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;} && BC \ \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;} && AC \ \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;} && AB + BC \ \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;}\\& AB \ \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;} && BC \ \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;} && AC \ \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;} && AB + BC \ \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;}\\& AB \ \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;} && BC \ \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;} && AC \ \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;} && AB + BC \ \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;}

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 \ \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;} && BC \ \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;} && AC \ \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;} && AB + BC \ \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;}\\& AB \ \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;} && BC \ \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;} && AC \ \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;} && AB + BC \ \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;}\\& AB \ \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;} && BC \ \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;} && AC \ \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;} && AB + BC \ \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;}

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

Write a conditional statement to express your conclusion:

If __________________ , then __________________

Image Attributions

Description

Categories:

Grades:

Date Created:

Feb 23, 2012

Last Modified:

Aug 19, 2014
Files can only be attached to the latest version of None

Reviews

Please wait...
Please wait...
Image Detail
Sizes: Medium | Original
 
TI.MAT.ENG.SE.1.Geometry.3.1

Original text