Log In Start studying!

Select your language

Suggested languages for you:
Answers without the blur. Sign up and see all textbooks for free! Illustration


Found in: Page 41


Book edition Student Edition
Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Pages 227 pages
ISBN 9780395977279

Answers without the blur.

Just sign up for free and you're in.


Short Answer

Copy everything shown and supply missing statements and reasons.

Given: FL=AT

Prove: FA=LT


See the step by step solution

Step by Step Solution

Step 1. Apply the reflexive property of congruence.

By reflexive property, LA=LA.

Step 2. Addition property of algebra.

If a=b and c=d, then a+c=b+d.

Step 3. Description of step.

Use given information and step 1 and apply the addition property of algebra mentioned in step 2.


Step 4. Apply segment addition postulate.

From the given figure, it can be observed that some of FL and LA gives FA and the sum of LA and AT gives LT, that is,


Step 5. Substitution property.

Substitute FA for FL+LA and LT for LA+AT into step 3.


Hence, it is proved that FA=LT.

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.