Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Slides:

Advertisements

Similar presentations

6.2 Properties of Parallelograms

Advertisements

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.

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

Parallelograms Rhombus Square Parallelogram Rectangle

Honors Geometry Section 4.6 (1) Conditions for Special Quadrilaterals

Quadrilateral Properties

Kites, Trapezoids, Midsegments Geometry Regular Program SY Source: Discovering Geometry (2008) by Michael Serra.

Chapter 6+. The opposite sides of a parallelogram are __________ and __________.

Use Properties of Parallelograms

Proving that a quadrilateral is a Parallelogram Geometry Regular Program SY Source: Discovering Geometry (2008) by Michael Serra Geometry (2007)

Honors Geometry Section 4.6 (1) Conditions for Special Quadrilaterals

Arcs and Angles Geometry Regular Program SY Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Parallelograms Unit 8.2. What is a parallelogram Definition: a parallelogram is a quadrilateral with both pairs of opposite sides parallel.

Ways to Prove that Quadrilaterals are Parallelograms

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

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

Area of Regular Polygons with exercises Geometry Regular Program SY Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by.

6.3 Showing Quadrilaterals are Parallelograms Textbook pg 316.

Ways of proving a quadrilaterals are parallelograms Section 5-2.

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

Special Parallelograms

6.4 Rhombus, Rectangles and Squares

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

7.4 Special Parallelograms

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

6.3 Proving Quadrilaterals are Parallelograms. Objectives: Prove that a quadrilateral is a parallelogram. Use coordinate geometry with parallelograms.

7.2 Properties of Parallelograms. What is a Parallelogram? Definition: A quadrilateral where both pairs of opposite sides are parallel. Properties: Let’s.

A D B C Definition: Opposite Sides are parallel.

Special Parallelograms Geometry Regular Program SY Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

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

Geometry Section 6.3 Conditions for Special Quadrilaterals.

7.2 Parallelograms. Definition: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. Consecutive angles Opposite angles.

Always, Sometimes, or Never

Parallelograms Properties & Attributes. Parallelograms …are quadrilaterals in which both pairs of opposite sides are parallel If a quadrilateral is a.

Interior and exterior angles. Exterior and interior angles are supplementary.

Sections  A parallelogram must have:  Both pair of opposite sides congruent  Both pair of opposite angles congruent  Consecutive angles that.

Properties of Parallelograms Warm Up 3/17  Find the perimeter of triangle ABC: B 4 cm 3 cm 6 cm 2x cm x + 4 cm 4 cm A C.

Final 100 Terms & Definitions Always, Sometimes Or Never.

Rhombus – a quadrilateral with ______ _________ _________ ________

Use Properties of Parallelograms

8.2 Parallelograms.

6.4 Rhombi, Rectangles, and Squares

Parallelograms.

6-2B Proving Quadrilaterals Are Parallelograms

Chapter 5 -- Quadrilaterals

Parallelograms Parallelogram - A quadrilateral with both pairs of opposite sides parallel. Theorem 8.3 Opposite sides of a parallelogram are congruent.

Properties of Parallelograms

Lesson: 6.3 Tests for Parallelograms Objectives:

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

Parallelograms Geometry Regular Program SY Source:

Terms & Definitions Always, Sometimes Or Never Find the Measure Complete The Theorem.. Polygon Angles

Six Properties of Parallelograms

Kites, Trapezoids, Midsegments

EOC Prep Quadrilaterals

Exercises on Circles Geometry Regular Program SY Source:

Use Properties of Parallelograms

Arcs and Angles Geometry Regular Program SY Source:

8.2 Use Properties of Parallelograms

Unit 6 Quadrilaterals Section 6.1 Properties of Parallelograms

Lesson 61 Determining if a Quadrilateral is a Parallelogram

Exercises for Area of Polygons

Exercises for Triangles and Quadrilaterals

Lesson: 6.2 Tests for Parallelograms Pages: 298 – 300 Objectives:

Properties of Parallelograms

6.3 Proving Quadrilaterals and Parallelograms

8.2 Parallelograms.

Properties of Parellograms

Go over the Test.

Rays and Angles SY Source: Geometry (2007) by Ron Larson et al.

Proving that a quadrilateral is a Parallelogram

Presentation transcript:

Parallelograms Geometry Regular Program SY Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson

Definitions

Parallelogram Properties Parallelogram Opposite Angles Conjecture:

Parallelogram Properties Parallelogram Consecutive Angles Conjecture:

Parallelogram Properties Parallelogram Opposite Sides Conjecture:

Parallelogram Properties Parallelogram Diagonals Conjecture:

Parallelogram Properties The quadrilateral is a parallelogram. Solve for the unknowns.

Parallelogram Properties The quadrilateral is a parallelogram. Solve for the unknowns.

Parallelogram Properties The quadrilateral is a parallelogram. Solve for the unknowns.

Parallelogram Properties The quadrilateral is a parallelogram.

Parallelogram Properties The quadrilateral is a parallelogram.

Parallelogram Properties The quadrilateral is a parallelogram. Solve for the unknowns.

Exercises The quadrilateral is a parallelogram. Solve for the unknowns.

Exercises The quadrilateral is a parallelogram. Solve for the unknowns.

Exercises The quadrilateral is a parallelogram. Solve for the unknowns.

Exercises The quadrilateral is a parallelogram. Solve for the unknowns.

Exercises The quadrilateral is a parallelogram. Solve for the unknowns.

Exercises The quadrilateral is a parallelogram. Solve for the unknowns.

Exercises The quadrilateral is a parallelogram. Solve for the unknowns.

Exercises The quadrilateral is a parallelogram. Solve for the unknowns.

Exercises The quadrilateral is a parallelogram. Solve for the unknowns.

Exercises The quadrilateral is a parallelogram. Solve for the unknowns.

Exercises The quadrilateral is a parallelogram. Solve for the unknowns.

Exercises The quadrilaterals are parallelograms. Solve for the unknowns.

Exercises The quadrilateral is a parallelogram. What are the coordinates of M?

MORE Exercises on Parallelograms ALWAYS. SOMETIMES. NEVER. 1.Diagonals of a parallelogram are perpendicular. S 2.Consecutive angles of … are complementary. N 3.Consecutive sides of … are congruent. S 4.Diagonals of a parallelogram are congruent. S 5.Diagonals of … intersect at their midpoints. A