robert-larson
Uploaded by
4 SLIDES
197 VUES
40LIKES

Finding Lengths and Congruence in Geometry Using the Segment Addition Postulate

DESCRIPTION

This guide focuses on finding the lengths of segments using the Segment Addition Postulate. It includes step-by-step examples demonstrating how to set up and solve equations for segment lengths, along with methods to determine segment congruence through the plotting of points in a coordinate plane. The text also covers comparing vertical and horizontal segments and utilizes the Ruler Postulate for measuring lengths. The importance of understanding segment relationships and coordinates in geometry is emphasized for effective problem-solving.

1 / 4

Télécharger la présentation

Finding Lengths and Congruence in Geometry Using the Segment Addition Postulate

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Use the diagram to find GH. FH = FG+ GH 36 21+GH = 15 GH = EXAMPLE 3 Find a length SOLUTION Use the Segment Addition Postulate to write an equation. Then solve the equation to find GH. Segment Addition Postulate. Substitute 36 for FHand 21 for FG. Subtract 21 from each side.

  2. Plot J(– 3, 4), K(2, 4), L(1, 3), and M(1, – 2) in a coordinate plane. Then determine whether JKand LMare congruent. To find the length of a horizontal segment, find the absolute value of the difference of the x-coordinates of the endpoints. JK = 2 – (– 3) = 5 EXAMPLE 4 Compare segments for congruence SOLUTION Use Ruler Postulate.

  3. LM = – 2 – 3 = 5 ~ JKand LMhave the same length. So, JK LM. = ANSWER EXAMPLE 4 Compare segments for congruence To find the length of a vertical segment, find the absolute value of the difference of the y-coordinates of the endpoints. Use Ruler Postulate.

  4. Plot the points A(– 2, 4),B(3, 4), C(0, 2), and D(0, – 2) in a coordinate plane. Then determine whether ABand CDare congruent. Use the diagram to find WX. ANSWER No. ANSWER 107 6. for Examples 3 and 4 GUIDED PRACTICE 5.

More Related