Is a quadrilateral always a parallelogram? Choices: (A)yes (B)no

Define quadrilateral: Step 1: Define a quadrilateral. A quadrilateral is any four-sided figure. It includes various shapes like squares, rectangles, trapezoids, and parallelograms.Define parallelogram: Step 2: Define a parallelogram. A parallelogram is a specific type of quadrilateral where opposite sides are parallel and equal in length.Compare properties: Step 3: Compare properties. Not all quadrilaterals have opposite sides that are parallel and equal. For example, a trapezoid has only one pair of parallel sides, which disqualifies it from being a parallelogram.Conclusion: Step 4: Conclusion based on properties. Since some quadrilaterals like trapezoids do not meet the criteria for parallelograms, it's clear that not all quadrilaterals are parallelograms.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Is a quadrilateral always a parallelogram? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

View step-by-step help

Home

Math Problems

Grade 8

Classify quadrilaterals II

Full solution

Q. Is a quadrilateral always a parallelogram?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Define quadrilateral: Step $1$ : Define a quadrilateral. $\newline$ A quadrilateral is any four-sided figure. It includes various shapes like squares, rectangles, trapezoids, and parallelograms.
Define parallelogram: Step $2$ : Define a parallelogram. $\newline$ A parallelogram is a specific type of quadrilateral where opposite sides are parallel and equal in length.
Compare properties: Step $3$ : Compare properties. $\newline$ Not all quadrilaterals have opposite sides that are parallel and equal. For example, a trapezoid has only one pair of parallel sides, which disqualifies it from being a parallelogram.
Conclusion: Step $4$ : Conclusion based on properties. $\newline$ Since some quadrilaterals like trapezoids do not meet the criteria for parallelograms, it's clear that not all quadrilaterals are parallelograms.