Quadrilaterals Overview
8 Questions
1 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the definition of a trapezoid?

A quadrilateral in which at least one pair of sides are parallel and consecutive angles from different bases are supplementary.

What is the definition of a parallelogram?

A trapezoid in which opposite sides are parallel.

What is the definition of a kite?

A quadrilateral in which four sides can be grouped into two distinct pairs of congruent sides that are adjacent to each other, one pair of angles are congruent, and diagonals are perpendicular.

What is the definition of a rhombus?

<p>A parallelogram in which all sides are congruent.</p> Signup and view all the answers

What is the definition of a rectangle?

<p>A parallelogram in which all angles are right angles.</p> Signup and view all the answers

What is the special feature of an isosceles trapezoid?

<p>Base angles are congruent.</p> Signup and view all the answers

What is the special feature of a square?

<p>A rhombus in which all angles are right angles.</p> Signup and view all the answers

What is the definition of an isosceles trapezoid?

<p>A trapezoid in which both pairs of opposite sides are parallel.</p> Signup and view all the answers

Flashcards

Quadrilateral

A four-sided polygon.

Trapezoid

A quadrilateral with at least one pair of parallel sides.

Consecutive angles

Angles that are adjacent and sum to 180° in a trapezoid.

Congruent sides

Sides that are equal in length.

Signup and view all the flashcards

Isosceles trapezoid

A trapezoid with congruent legs and base angles.

Signup and view all the flashcards

Parallel sides

Sides that never intersect, no matter how far extended.

Signup and view all the flashcards

Diagonals

Lines connecting non-adjacent vertices in a polygon.

Signup and view all the flashcards

Perpendicular diagonals

Diagonals that intersect at a right angle (90°).

Signup and view all the flashcards

Rectangle

A parallelogram with four right angles.

Signup and view all the flashcards

Congruent angles

Angles that are equal in measure.

Signup and view all the flashcards

Parallelogram

A quadrilateral with opposite sides that are parallel and equal.

Signup and view all the flashcards

Opposite angles

Angles that are across from each other in a polygon.

Signup and view all the flashcards

Sum of angles

Two angles adding up to 180° are supplementary.

Signup and view all the flashcards

Diagonal bisects

A diagonal cutting a shape into two equal parts.

Signup and view all the flashcards

Right angles

Angles measuring 90° in a shape.

Signup and view all the flashcards

Congruent triangles

Triangles that are the same size and shape.

Signup and view all the flashcards

Opposite sides are congruent

In a parallelogram, sides are equal in length and parallel.

Signup and view all the flashcards

Legs of trapezoid

The non-parallel sides of a trapezoid.

Signup and view all the flashcards

Angle bisector

A line that divides an angle into two equal parts.

Signup and view all the flashcards

Supplementary angles

Two angles that add up to 180°.

Signup and view all the flashcards

Rhombus

A parallelogram with all sides equal in length.

Signup and view all the flashcards

All angles are right angles

In a rectangle, all internal angles are exactly 90°.

Signup and view all the flashcards

Diagonals are congruent

In rectangles and isosceles trapezoids, diagonals are the same length.

Signup and view all the flashcards

Base angles

The angles at the base of a trapezoid.

Signup and view all the flashcards

Sum of angles in parallelogram

Opposite angles in a parallelogram are equal while consecutive angles sum to 180°.

Signup and view all the flashcards

Diagonals bisect angles in rhombus

Diagonals divide the angles into two equal parts in a rhombus.

Signup and view all the flashcards

Legs are congruent

Sides of an isosceles trapezoid that are of equal length.

Signup and view all the flashcards

Diagonals are congruent in rectangles

In rectangles, diagonals have equal length.

Signup and view all the flashcards

Opposite angles are equal

In a parallelogram, opposite angles measure the same.

Signup and view all the flashcards

Study Notes

Quadrilaterals

  • A quadrilateral is a four-sided polygon.
  • A trapezoid is a quadrilateral with at least one pair of parallel sides.
  • Consecutive angles of a trapezoid (from different bases) are supplementary.
  • A parallelogram is a quadrilateral with opposite sides parallel.
    • Opposite sides are congruent
    • Opposite angles are congruent
    • Consecutive angles are supplementary
    • Diagonals bisect each other
  • An isosceles trapezoid is a trapezoid in which the base angles are congruent and the legs are congruent.
    • Diagonals are congruent
  • A kite is a quadrilateral with two pairs of adjacent congruent sides.
    • One pair of opposite angles are congruent
    • Diagonals are perpendicular
  • A rectangle is a parallelogram with four right angles.
    • Diagonals are congruent
  • A rhombus is a parallelogram with four congruent sides.
    • Diagonals are perpendicular
    • Diagonals bisect the angles
  • A square is a rectangle with four congruent sides.
    • Diagonals are congruent and perpendicular
    • Diagonals bisect the angles

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Related Documents

Quadrilateral Family Tree PDF

Description

Test your knowledge of quadrilaterals including trapezoids, parallelograms, kites, and more. This quiz will cover definitions, properties, and classifications of various types of quadrilaterals. Perfect for students learning about geometry!

More Like This

Geometry: Polygons and Quadrilaterals
15 questions
Geometry Chapter 6: Polygons and Quadrilaterals
22 questions
Geometry: Polygons and Quadrilaterals
24 questions
Use Quizgecko on...
Browser
Browser