Identify the types of quadrilaterals based on their properties.

May 19, 2026Mathematics

ScanSolve AI Answer

2 stepsMay 19, 2026

Answer

parallelogram

Here are the answers to the questions:

A quadrilateral whose opposite sides are parallel is called a $\boxed{parallelogram}$ . Let the quadrilateral be $ABCD$ . Given: $AB \parallel CD$ and $AD \parallel BC$ . Therefore, $ABCD$ is a parallelogram.
A quadrilateral with all sides equal and each angle is $90^\circ$ is a $\boxed{square}$ . Let the quadrilateral be $PQRS$ . Given: $PQ = QR = RS = SP$ and $\angle P = \angle Q = \angle R = \angle S = 90^\circ$ . Therefore, $PQRS$ is a square.

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Quick Answer

Here are the answers to the questions: 1.
A quadrilateral whose opposite sides are parallel is called a parallelogram.
Let the quadrilateral be ABCD.
Given: AB CD and AD BC.

Asked on May 19, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 19, 2026

Here are the answers to the questions: 1. A quadrilateral whose opposite sides are parallel is called a parallelogram. Let the quadrilateral be ABCD. Given: AB CD and AD BC. Therefore, ABCD is a parallelogram. 2. A quadrilateral with all sides equal and each angle is 90^ is a square. Let the quadrilateral be PQRS. Given: PQ = QR = RS = SP and P = Q = R = S = 90^. Therefore, PQRS is a square. That's 2 down. 3 left today — send the next one.