special-quadrilaterals.Powerpoint for Grade 9

IvyEuniceFeudo 18 views 111 slides Mar 02, 2025
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About This Presentation

Lesson PPT

Size: 6.91 MB
Language: en
Added: Mar 02, 2025
Slides: 111 pages

Slide Content

SPECIAL Parallelograms

Types of parallelogram and their properties RECTANGLES SQUARE 2 pairs of parallel sides 4 right angles 2 pairs of parallel sides 4 right angles equal sides RHOMBUS 2 pairs of parallel sides equal sides

RECTANGLE A parallelogram with FOUR RIGHT ANGLES

A quadrilateral is a RECTANGLE if and only if it has four right angles

Properties of a Rectangle 1. Opposite sides are congruent. 2. Opposite angles are congruent 3. Consecutive angles are supplementary. 4. Diagonal bisect each other. 5. Diagonals are congruent. 6. All four angles are 90 °

RHOMBUS A parallelogram with FOUR CONGRUENT SIDES

A quadrilateral is a RHOMBUS if and only if it has four congruent sides

Properties of a Rhombus 1. Opposite sides are congruent. 2. Opposite angles are congruent 3. Consecutive angles are supplementary. 4. Diagonal bisect each other. 5. Diagonals are perpendicular. 6. Diagonal bisect angles. 7. All four sides are congruent. 8. Diagonals are not congruent.

SQUARE A parallelogram with FOUR RIGHT ANGLES AND FOUR CONGRUENT SIDES

A quadrilateral is a SQUARE if and only if it has four congruent sides and four right angles

SQUARE Holds same properties as Rhombus and Rectangle

A B C D

Properties of a Square 1. Opposite sides are congruent. 2. Opposite angles are congruent 3. Consecutive angles are supplementary. 4. Diagonal bisect each other. 5. Diagonals are perpendicular. 6. Diagonal bisect angles. 7. All four sides are congruent. 8. Diagonals are congruent. 9. All four angles are 90 °

Trapezoid ONE PAIR OF PARALLEL SIDES

A quadrilateral is a TRAPEZOID if and only if it has ONE pair of parallel sides

Trapezoid Base (b 2 ) Base (b 1 ) Midsegment is ½ the sum of the lengths of the bases Midsegment =½ (b 1 + b 2 )

Trapezoid leg leg base base Leg angles are supplementary Leg angle 1 Leg angle 2

Trapezoid leg leg base base Isosceles: Base angles are congruent Base angle 2 Base angle 1

Trapezoid Isosceles: Diagonals are congruent

KITE TWO PAIRS OF CONSECUTIVE CONGRUENT SIDES (opposite sides not congruent)

A quadrilateral is a KITE if and only if it has two pairs of congruent consecutive sides

KITE Diagonals are perpendicular

KITE Short diagonal is bisected

KITE ONE pair of opposite angles are congruent (not both)

KITE The other angles are bisected by the diagonal

KITE Two pairs of consecutive sides are congruent.
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