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 171


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

Find something interesting to prove. Then prove it. Answers may vary.

Given: ABCD;12

It is proved that AX¯CY¯.

See the step by step solution

Step by Step Solution

Step 1. Apply property of parallelogram.

The opposite sides of a parallelogram are congruent.

In ABCD, AD¯ and BC¯ are opposite sides. Therefore, AD¯BC¯.

Step 2. Description of step.

From the given figure, it can be observed that AD¯BC¯ and AC¯ is a transversal then DAC and ACB are alternate interior angles such that, DACACB.

Step 3. Description of step.

As 12, AD¯BC¯ and DACACB then by ASA postulate, ΔDAXΔBCY.

Step 4. Description of step.

As ΔDAXΔBCY, then by corresponding parts of congruent triangles, AX¯CY¯.

Hence it is proved that AX¯CY¯.

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

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