Parallelograms Rhombus Square Parallelogram Rectangle

Slides:

Advertisements

Similar presentations

6.3/4 Rhombuses, Rectangles, and Squares. Three Definitions 1.A rhombus is a parallelogram with four congruent sides. 1.A rectangle is a parallelogram.

Advertisements

Parallelogram A quadrilateral with both pairs of opposite sides parallel *opposite sides are congruent *opposite angles are congruent *diagonals bisect.

Special Quadrilaterals

HOT SEAT ASN Challenge. SCORING 1 st team finished 3 pts 2 nd team finished 2 pts additional teams 1 pt incorrect answer -1 pt talking -3 pts.

Math 310 Section 10 Quadrilaterals Review. Trapezoid Definition: A quadrilateral with a pair of parallel sides. Special Notes! All the properties of a.

Quadrilateral Venn Diagram

Section 8.6 Identify Special Quadrilaterals. Rhombus Quadrilaterals Parallelograms KitesTrapezoids Rectangle Square Isosceles Trapezoid Right Trapezoid.

Quadrilateral Properties

What quadrilateral am I? Use the given properties to decide what type of quadrilateral is being described. Continue.

Quadrilaterals Project

Quadrilateral Proofs.

Paige BakerCreated by Curt Tauke

Polygons with 4 sides and 4 angles

Quadrilaterals.

Geometry Mr. Zampetti Unit 3, Day 4

Properties of Quadrilaterals

*Quadrilateral I have exactly four sides and angles. If you add all of my angles together, then you would have

Name That Quadrilateral  Be as specific as possible.  Trapezoid.

Polygons – Parallelograms A polygon with four sides is called a quadrilateral. A special type of quadrilateral is called a parallelogram.

Proof Geometry.  All quadrilaterals have four sides.  They also have four angles.  The sum of the four angles totals 360°.  These properties are.

Warm up 1.Factor & Solve: a.x 2 + 9x + 14 = 0 b.x 2 + 2x -15 = 0 c.x 2 – 7x + 15 =45 2. √4 = _____ (this has 2 answers) 3.√9 = _____ (this has 2 answers)

 Parallelograms Parallelograms  Rectangles Rectangles  Rhombi Rhombi  Squares Squares  Trapezoids Trapezoids  Kites Kites.

Kite Quadrilateral Trapezoid Parallelogram Isosceles Trapezoid Rhombus Rectangle Square Math 3 Hon – Unit 1: Quadrilateral Classifications.

Warm-Up ABCD is a parallelogram. Find the length of BC. A B C D 5x + 3 3x + 11.

Special Quadrilaterals

A QUADRALATERAL WITH BOTH PAIRS OF OPPOSITE SIDES PARALLEL

By: Sachita Ganesa, Brittany Laramee, Connor Shea and Sean Teebagy

Parallelograms have Properties Click to view What is a parallelogram? A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

Rhombuses, Rectangles, and Squares

Midsegments of a Triangle

Special Parallelograms

Rhombus 1.Both pairs of opposite sides are parallel 2. Both pairs of opposite sides are congruent 3. Both pairs of opposite angles are congruent 4. Consecutive.

Geometry 6-4 Rhombus Opposite sides parallel? Opposite sides congruent? Opposite angles congruent? Consecutive angles supplementary? Diagonals congruent?

Geometry 6-4 Properties of Rhombuses, Rectangles, and Squares.

Proofs with Quadrilaterals. Proving Quadrilaterals are Parallelograms Show that opposite sides are parallel by same slope. Show that both pairs of opposite.

Properties of Quadrilaterals

Statements Reasons Page Given 2. A segment bisector divides a segment into two congruent segments 5. CPCTC 3. Vertical angles are congruent 6. If.

A D B C Definition: Opposite Sides are parallel.

Quadrilaterals Lesson 11 – 5. Quadrilateral Def: a 4 sided polygon. or ‘ a figure with 4 sides and 4 angles’ **The SUM of the 4 angles must equal 360º**

Quadrilaterals Four sided polygons.

Name that QUAD. DefinitionTheorems (Name 1) More Theorems/Def (Name all) Sometimes Always Never

Always, Sometimes, or Never

Special Quadrilaterals. KITE  Exactly 2 distinct pairs of adjacent congruent sides  Diagonals are perpendicular  Angles a are congruent.

5.4 Quadrilaterals Objectives: Review the properties of quadrilaterals.

Classifying Quadrilaterals

Honors Geometry. Diagonals of a rectangle are perpendicular.

Parallelogram Rectangle Rhombus Square Trapezoid Kite

Quadrilaterals Four sided polygons Non-examples Examples.

Advanced Geometry 5.7 Proving Special Quadrilaterals.

Quadrilaterals By Austin Reichert. Two Diagonals!!! First comes the Trapezium!!! ◦No sides are parallel!

 6.3 Showing Quadrilaterals are Parallelograms. We can use the theorems from 6.2 to prove that quadrilaterals are parallelograms  What 5 facts are ALWAYS.

Quadrilateral Foldable!

7/1/ : Properties of Quadrilaterals Objectives: a. Define quadrilateral, parallelogram, rhombus, rectangle, square and trapezoid. b. Identify the.

Do-Now 1)Find x. 2) Find x. 4x + 1 3x + 1 2x x 2x – 10 x 2 – 2x – 69.

Warm Up:  Solve for x and y in the following parallelogram. What properties of parallelograms did you use when solving?  What is the measure of CD? 

Parallelograms have Properties

Rhombus – a quadrilateral with ______ _________ _________ ________

Quadrilaterals.

Unit 6 Quadrilaterals Review Problems

6-4 Properties of Rhombuses, Rectangles, and Squares

Factor & Solve: x2 + 9x + 14 = 0 x2 + 2x -15 = 0 x2 – 7x + 15 =45

Parallelogram Definition: A quadrilateral with two pairs of parallel sides. Picture: Marked parallel and congruent.

Parallelogram Rectangle Rhombus Square Trapezoid Kite

A Parade of Four-Sided Polygons

Ch 8 Quadrilaterals Foldable

Unit 6 Quadrilaterals Section 6.1 Properties of Parallelograms

Fill in the following table – checking each characteristic that applies to the figures listed across the top; Characteristic Polygon Quadrilateral Parallelogram.

Properties of Parallelograms

Presentation transcript:

Parallelograms Rhombus Square Parallelogram Rectangle Parallelogram Rectangle Rhombus Square opposite sides parallel opposite sides congruent opposite angles congruent consecutive angles supplementary four right angles four congruent sides diagonals bisect each other diagonals congruent diagonals perpendicular diagonals angle bisector

Sometimes, Always or Never…… A parallelogram is ? a polygon. A parallelogram is ? a rectangle. A rectangle is ? a square. A quadrilateral is ? a rhombus. A trapezoid is ? a square. A square is ? a rectangle. A rectangle is ? a parallelogram. A parallelogram is ? a square. A quadrilateral is ? a rectangle. A square is ? a parallelogram.