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Classifying quadrilaterals
- Intro Lesson: a11:02
- Intro Lesson: b3:44
- Intro Lesson: c7:08
- Intro Lesson: d3:13
- Intro Lesson: e3:29
- Intro Lesson: f8:37
- Lesson: 1a2:00
- Lesson: 1b1:57
- Lesson: 1c1:11
- Lesson: 1d1:23
- Lesson: 1e1:09
- Lesson: 1f2:16
- Lesson: 2a1:33
- Lesson: 2b4:44
- Lesson: 2c4:10
- Lesson: 2d3:43
- Lesson: 2e2:50
- Lesson: 2f5:47
- Lesson: 3a3:45
- Lesson: 3b5:55
- Lesson: 3c5:23
- Lesson: 3d6:10
- Lesson: 4a2:57
- Lesson: 4b2:57
- Lesson: 4c2:16
- Lesson: 4d2:55
- Lesson: 4e3:09
Classifying quadrilaterals
Lessons
In this lesson, we will learn:
- A quadrilateral is a polygon with 4 sides
- We can look at the properties of a quadrilateral (pairs of parallel sides, pairs of congruent sides, types of angles) to classify into 6 different types
- The special types of quadrilaterals are: rectangle, square, parallelogram, rhombus, trapezoid, and kite
Notes:
- A quadrilateral is a 2D shape with 4 straight sides (a 4-sided polygon)
- A quadrilateral also has 4 vertices (corners)
- Each corner contains an angle; the total angle sum in any quadrilateral is 360°
- There are special quadrilaterals with specific definitions and names
- There will be 6 types of quadrilaterals in this lesson: Rectangle, Square, Parallelogram, Rhombus, Trapezoid, and Kite
- A quadrilateral can fit the definition of more than one of these special types
- Rectangles and squares:
- Quadrilaterals with 4 right angles (all angles are 90° )
- A rectangle has 2 pairs of opposite and equal sides (congruent)
- A square is a special type of rectangle where all 4 sides are equal (congruent)
- All squares are rectangles, but not all rectangles are squares
- Rectangles and squares can also be considered as parallelograms, just with right angles
- Parallelograms and rhombuses:
- Quadrilaterals with 2 pairs of parallel sides and 2 pairs of opposite equal angles
- A parallelogram has 2 pairs of congruent sides (equal length)
- A rhombus has all 4 sides congruent (all 4 sides equal length)
- All rhombuses are parallelograms; not all parallelograms are rhombuses
- Trapezoids:
- Quadrilaterals with only 1 pair of parallel sides
- Kites:
- Quadrilaterals with 2 adjacent congruent sides (no parallel sides)
- There is 1 pair of opposite equal angles across the line of symmetry
- Summary of quadrilateral types and properties (sides and angles):

- IntroductionIntroduction to Classifying Quadrilaterals:a)What is a quadrilateral and what geometry concepts are we going to use to classify different types?b)Classifying rectangles and squaresc)Classifying parallelograms and rhombusesd)Classifying trapezoidse)Classifying kitesf)A review on the 6 different classifications of quadrilaterals
- 1.Naming quadrilateral shapes
Classify the quadrilateral. Think about its sides and angles.a)b)c)d)e)f) - 2.Classifying quadrilateral types
Answer with the letter on each quadrilateral shapea)Which shapes are quadrilaterals?b)Which shapes are parallelograms?c)Which shapes are rectangles?d)Which shapes have all 4 sides congruent?e)Which shapes do not have right angles?f)Which shapes have exactly 2 pairs of congruent sides? - 3.Angles of quadrilaterals
Find the missing angle(s) and classify the quadrilateral.a)b)c)d) - 4.Classifying quadrilaterals - word problems
Read the description and answer with the correct quadrilateral.a)I have 2 pairs of parallel & congruent sides. If I do not have right angles, what am I?b)I have 4 congruent sides and these sides make up 2 pairs of parallel sides. If I only have right angles, what am I?c)I have a total angle sum of 360° and only 1 pair of parallel sides. What am I?d)I am to a parallelogram what a square is to a rectangle. What am I?e)I have 2 pairs of adjacent congruent sides and 1 pair of equal opposite angles. What am I?