Chapter 5: Q1 (page 195)

Quadrilateral WXYZ must be a special figure to meet the conditions stated. Write the best name for that special quadrilateral.
$\bar{W X} ≅ \bar{Y Z}$ and $\bar{W X} ∥ \bar{Y Z}$

Short Answer

Expert verified

The quadrilateral is parallelogram.

Step by step solution

Step 1. Apply the following concept.

If one pair of opposite sides of a quadrilateral are both parallel and congruent, then it's a parallelogram.

Step 2. Step description.

Consider that $\bar{W X} ≅ \bar{Y Z}, \bar{W X} | | \bar{Y Z}$ .

That is one pair of opposite sides of a quadrilateral $\bar{W X}$ and $\bar{Y Z}$ are both congruent and parallel.

Step 3. Step description.

Since one pair of the quadrilateral is parallel and congruent, therefore the quadrilateral is a parallelogram.

Therefore, the quadrilateral is a parallelogram.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Quadrilateral WXYZ must be a special figure to meet the conditions stated. Write the best name for that special quadrilateral.
$\bar{W X} ≅ \bar{Y Z}$ and $\bar{W X} ∥ \bar{Y Z}$

Short Answer

Step by step solution

Step 1. Apply the following concept.

Step 2. Step description.

Step 3. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Mechanics Maths

Geometry

Logic and Functions

Calculus

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Quadrilateral WXYZ must be a special figure to meet the conditions stated. Write the best name for that special quadrilateral.WX¯≅YZ¯andWX¯∥YZ¯

Short Answer

Step by step solution

Step 1. Apply the following concept.

Step 2. Step description.

Step 3. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Mechanics Maths

Geometry

Logic and Functions

Calculus

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Quadrilateral WXYZ must be a special figure to meet the conditions stated. Write the best name for that special quadrilateral.
$\bar{W X} ≅ \bar{Y Z}$ and $\bar{W X} ∥ \bar{Y Z}$