Special parallelograms 5-4. Definitions Rectangle- a quadrilateral with 4 right angles Rhombus - a quadrilateral with 4 congruent sides Square - a quadrilateral.

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

Parallelograms Rhombus Square Parallelogram Rectangle

Quadrilaterals Project

Chapter 5 Review.

Quadrilateral Proofs.

Honors Geometry Section 4.6 (1) Conditions for Special Quadrilaterals

Week 14 day 1 6 A ceramic tile is in the shape of a 30°-60°-90° triangle. The side across from the 30° angle is 6.25 cm long. How long is the hypotenuse.

3 Special Figures: The Rhombus, The Rectangle, The Square A Retrospect.

5.10 Properties of Rhombuses, Rectangles, and Squares

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Warm-up Conditions for Special Quadrilaterals.

A parallelogram has opposite sides and opposite angles equal.

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

Special Parallelograms. Theorem 6-9 Each diagonal of a rhombus bisects the opposite angles it connects.

Parallelograms Chapter 5 Ms. Cuervo.

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.

 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.

6.4 Rhombuses, Rectangles, and Squares Day 4 Review  Find the value of the variables. 52° 68° h p (2p-14)° 50° 52° + 68° + h = 180° 120° + h = 180 °

Aim: what are the properties of quadrilaterals? Do Now: Name 2 ways to identify a parallelogram as a square 1.A rectangle with 1 pair of consecutive congruent.

A QUADRALATERAL WITH BOTH PAIRS OF OPPOSITE SIDES PARALLEL

6.4 Properties of Rhombuses, Rectangles, and Squares A rhombus is a parallelogram with four congruent sides. A rectangle is a parallelogram with four right.

Ch. 6: Parallelograms, Rhombus, and Rectangles Possible or Impossible for the described quadrilateral to be a parallelogram…

OBJECTIVE: SPECIAL PARALLELOGRAMS

5.4 Special Quadrilaterals

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

Chapter 8 Quadrilaterals. Section 8-1 Quadrilaterals.

Rhombi & Squares Section 8-5. rhombus – a quadrilateral with 4 congruent sides Since a rhombus is a parallelogram, it has all the properties of a parallelogram.

Rhombuses, Rectangles, and Squares

Midsegments of a Triangle

Special Parallelograms

CHAPTER 5: QUADRILATERALS

6.4 Rhombus, Rectangles and Squares

6.4 Special Parallelograms. Theorem 6.9 Each diagonal of a rhombus bisects two angles of the rhombus.

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.

Rhombus. Properties of a Rhombus: A B C D All properties of a parallelogram All sides are congruent (equilateral) The diagonals are perpendicular The.

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

6-4 Properties of Rhombuses, Rectangles, and Squares

EXAMPLE 3 List properties of special parallelograms

7.2/7.3 Parallelograms! Learning Objective: to identify and classify parallelograms and prove that figures are special types of parallelograms. Warm-up.

Properties of Rhombuses, Rectangles, and Squares Lesson 8.4.

Rectangles Section 8-4. rectangle – a quadrilateral with 4 right angles Since a rectangle is a special type of parallelogram, it has all the properties.

A D B C Definition: Opposite Sides are parallel.

Geometry Section 8.4 Properties of Rhombuses, Rectangles, and Squares.

6-4 Properties of Rhombuses, Rectangles and Squares Objectives: To define and classify types of parallelograms To use properties of diagonals of rhombuses.

Quadrilaterals Four sided polygons.

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

Geometry Section 6.3 Conditions for Special Quadrilaterals.

Always, Sometimes, or Never

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

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

Honors Geometry. Diagonals of a rectangle are perpendicular.

Advanced Geometry 5.7 Proving Special Quadrilaterals.

Lesson 5-4: Special Quadrilaterals (page 184)

 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.

 Parallelograms are quadrilaterals, this means they have 4 sides.

Polygons Special Quadrilaterals. Rhombus Square Rectangle Video: Visit and view the video entitled Maths Mansion: Rotationswww.unitedstreaming.com.

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

Rhombus – a quadrilateral with ______ _________ _________ ________

8.2 Parallelograms.

5.10 Properties of Rhombuses, Rectangles, and Squares

6-4 Properties of Rhombuses, Rectangles, and Squares

Rectangles, Rhombuses, and Squares

Special Parallelograms

6-5 Conditions for Rhombuses, Rectangles, and Squares

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

8.4 Properties of Rhombuses, Rectangles, and Squares

Unit 6 Quadrilaterals Section 6.5 Properties of Rhombi and Squares

6.4 Rhombuses, Rectangles, and Squares 6.5 Trapezoids and Kites

Presentation transcript:

Special parallelograms 5-4

Definitions Rectangle- a quadrilateral with 4 right angles Rhombus - a quadrilateral with 4 congruent sides Square - a quadrilateral with 4 right angles, and 4 congruent sides.

Diagonals The diagonals of a rectangle are congruent. The diagonals of a rhombus are perpendicular. Each diagonal of a rhombus bisects 2 angles of the rhombus.

Theroems The midpoint of the hypotenuse of a right triangle is equidistant from the 3 vertices. If an angle of a parallelogram is a right angle, then the parallelogram is a rectangle.

Theorems Cont. If two consecutive sides of a parallelogram are congruent, then the parallelogram is a rhombus.