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Quadrilaterals Worksheet with Answers for Sophomores

Hey Sophomores! πŸ‘‹ Let's tackle quadrilaterals with this worksheet. It's got everything from vocab to tricky problems. Good luck, you got this! πŸ‘
🧠 General Knowledge

1 Answers

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πŸ“š Topic Summary

Quadrilaterals are four-sided polygons, and they come in many forms! From squares and rectangles that you see every day to parallelograms and trapezoids, understanding their properties is key to mastering geometry. This worksheet will help you review the vocabulary and practice identifying different types of quadrilaterals, along with their unique characteristics. Let's dive in and sharpen your skills!

🧠 Part A: Vocabulary

Match the term with its definition:

  1. Terms:
    • πŸ“ Rectangle
    • ♦️ Rhombus
    • ⬛ Square
    • trapezoid
    • parallelogram
  2. Definitions:
    • πŸ“ A quadrilateral with one pair of parallel sides.
    • ↔️ A quadrilateral with two pairs of parallel sides and four right angles.
    • πŸ’Ž A quadrilateral with four equal sides and two pairs of parallel sides.
    • 🟩 A quadrilateral with four equal sides and four right angles.
    • ⟚ A quadrilateral with two pairs of parallel sides.

✍️ Part B: Fill in the Blanks

Complete the following paragraph about quadrilaterals:

A ______ is a four-sided polygon. A special type of quadrilateral where both pairs of opposite sides are parallel is called a ______. If a parallelogram has four right angles, it is a ______. A ______ is a parallelogram with four equal sides. Lastly, a ______ is a quadrilateral with only one pair of parallel sides.

πŸ€” Part C: Critical Thinking

Why is a square always a rectangle, but a rectangle is not always a square?

Click to reveal the answers!

πŸ”‘ Answer Key

Part A: Vocabulary

  • πŸ“ Rectangle - ↔️ A quadrilateral with two pairs of parallel sides and four right angles.
  • ♦️ Rhombus - πŸ’Ž A quadrilateral with four equal sides and two pairs of parallel sides.
  • ⬛ Square - 🟩 A quadrilateral with four equal sides and four right angles.
  • trapezoid - πŸ“ A quadrilateral with one pair of parallel sides.
  • parallelogram - ⟚ A quadrilateral with two pairs of parallel sides.

Part B: Fill in the Blanks

A quadrilateral is a four-sided polygon. A special type of quadrilateral where both pairs of opposite sides are parallel is called a parallelogram. If a parallelogram has four right angles, it is a rectangle. A rhombus is a parallelogram with four equal sides. Lastly, a trapezoid is a quadrilateral with only one pair of parallel sides.

Part C: Critical Thinking

A square is always a rectangle because it fulfills the definition of a rectangle (a parallelogram with four right angles). However, a rectangle is not always a square because it doesn't necessarily have four equal sides, which is a requirement for being a square.

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