Review & Trapezoids. Properties of a Parallelogram A BC D 1. Opposite sides are parallel. 2 Opposite sides are congruent. 3. Opposite angles are congruent.

Slides:

Advertisements

Similar presentations

Other Types of Quadrilaterals: Rectangles, Rhombi, Squares Trapezoids, Kites.

Advertisements

Parallelograms Quadrilaterals are four-sided polygons

Quadrilateral Venn Diagram

: Quadrilaterals and Their Properties

Quadrilaterals Project

Sect. 6.5 Trapezoids and Kites Goal 1 Using Properties of Trapezoids Goal 2 Using Properties of Kites.

6-6 Trapezoids and Kites.

Advanced Geometry 5.4 / 5 Four Sided Polygons /    Properties of Quadrilaterals Learner Objective: I will solve problems using properties   of special.

Chapter 5 Review.

Quadrilateral Proofs.

Paige BakerCreated by Curt Tauke

Chapter 5 Pre-AP Geometry

Similarity and Parallelograms.  Polygons whose corresponding side lengths are proportional and corresponding angles are congruent.

Polygons and Quadrilaterals Unit

Properties of Other Quadrilaterals Students will be able to… Identify and use the properties of rectangles, squares, rhombuses, kites, and trapezoids.

Polygons – Rhombuses and Trapezoids Rhombus - four congruent sides.

* Quadrilateral I have exactly four sides. *Trapezoid I have only one set of parallel sides. [The median of a trapezoid is parallel to the bases and.

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

Lesson 6-1. Warm-up Solve the following triangles using the Pythagorean Theorem a 2 + b 2 = c √3.

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

Properties of Trapezoids and Kites The bases of a trapezoid are its 2 parallel sides A base angle of a trapezoid is 1 pair of consecutive angles whose.

5-minute check In a brief paragraph explain all the properties you know about parallelograms. Explain the properties of the following: Rhombus Rectangle.

5.11 Use Properties of Trapezoids and Kites. Vocabulary  Trapezoid – a quadrilateral with exactly one pair of parallel sides. Base Base Angle Leg.

Trapezoids & Kites Sec 6.5 GOALS: To use properties of trapezoids and kites.

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

Final Exam Review Chapter 8 - Quadrilaterals Geometry Ms. Rinaldi.

1 Lesson 6-6 Trapezoids and Kites. 2 Trapezoid A quadrilateral with exactly one pair of parallel sides. Definition: Base Leg/ Height Isosceles trapezoid.

Geometry Section 6.5 Trapezoids and Kites. A trapezoid is a quadrilateral with exactly one pair of opposite sides parallel. The sides that are parallel.

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

SECTION 8-2, 8-4, 8-5 spi.3.2.H Jim Smith JCHS. Parallelograms are quadrilaterals with Both pairs of opposite sides parallel. ABCD A B CD › › › › › ›

Parallelograms Quadrilaterals are four-sided polygons Parallelogram: is a quadrilateral with both pairs of opposite sides parallel.

A QUADRALATERAL WITH BOTH PAIRS OF OPPOSITE SIDES PARALLEL

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

Please click the speaker symbol on the left to hear the audio that accompanies some of the slides in this presentation. Quadrilaterals.

Chapter 8 Quadrilaterals. Section 8-1 Quadrilaterals.

Midsegments of a Triangle

Obj: SWBAT identify and classify quadrilaterals and their properties

Properties of Quadrilaterals

Geometry 6-6 Trapezoids Only one pair of parallel sides (called bases) Non-parallel sides are called legs Base angles share a common base.

Lesson 2.17: Trapezoid & Kites 1 Lesson 6-5 Trapezoids and Kites.

Special Quadrilaterals Properties of Kites & Trapezoids.

Trapezoids Euclidean Geometry High School Math Online.

Warm-Up Sect. 6.5 Trapezoids and Kites Goal 1 Using Properties of Trapezoids Goal 2 Using Properties of Kites.

8.5 – Use Properties of Trapezoids and Kites. Trapezoid: Consecutive interior angles are supplementary A B C D m  A + m  D = 180° m  B + m  C = 180°

Quadrilaterals Four sided polygons.

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.

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

Use Properties of Trapezoids and Kites Lesson 8.5.

The Quadrilateral Family Reunion Next.

Quadrilaterals and Polygons SOL Review Session. Names of Polygons Number of SidesName

Quadrilaterals Four sided polygons Non-examples Examples.

What quadrilateral am I?.

FINAL EXAM REVIEW Chapter 5 Key Concepts Chapter 5 Vocabulary parallelogram ► opposite sides ► opposite angles ► diagonals rectanglerhombussquaretrapezoid.

Quadrilateral Foldable!

Parallelograms Quadrilaterals are four-sided polygons Parallelogram: is a quadrilateral with both pairs of opposite sides parallel.

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

Rhombus, Rectangle, Square Properties of Parallelograms

TRAPEZOIDS / MIDSEGMENTS AND KITES Lesson 2 – 4 MATH III.

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? 

Do Now: List all you know about the following parallelograms.

Geometry 6.5 Trapezoids and Kites.

Understand, use and prove properties of and relationships among special quadrilaterals: parallelogram, rectangle, rhombus, square, trapezoid, and kite.

6.4 Rhombuses, Rectangles, and Squares 6.5 Trapezoids and Kites

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

Presentation transcript:

Review & Trapezoids

Properties of a Parallelogram A BC D 1. Opposite sides are parallel. 2 Opposite sides are congruent. 3. Opposite angles are congruent. 5. Diagonals bisect each other 4. Consecutive angles are supplementary YES, we’re going to review again, & again, & again…

Properties of a Rhombus ABCD 1. Opposite sides are parallel. 2 Opposite sides are congruent. 3. Opposite angles are congruent. 5. Diagonals bisect each other 4. Consecutive angles are supplementary 6. 4 congruent sides 7. Diagonals of a rhombus bisect the angles 8. Diagonals of a rhombus are perpendicular (bisectors)

Properties of a Rectangle 1. Opposite sides are parallel. 2 Opposite sides are congruent. 3. Opposite angles are congruent. 5. Diagonals bisect each other 4. Consecutive angles are supplementary 6. 4 congruent sides 7. Diagonals of a rhombus bisect the angles 8. Diagonals of a rhombus are perpendicular (bisectors) 9. 4 right angles 10. Diagonals are congruent

Properties of a Square 1. Opposite sides are parallel. 2 Opposite sides are congruent. 3. Opposite angles are congruent. 5. Diagonals bisect each other 4. Consecutive angles are supplementary 6. 4 congruent sides 7. Diagonals of a rhombus bisect the angles 8. Diagonals of a rhombus are perpendicular (bisectors) 9. 4 right angles 10. Diagonals are congruent It has it ALL!!!

Practice with squares A B CD BX= AX = DB = AC = AB= BC= 12 X DX = 8.5 m  AXB= m  XAB=90  45 

And now…Properties of Trapezoids

Definition of a Trapezoid- exactly one pair of parallel sides OR A quadrilateral with:

Definition of a Trapezoid- Parallel sides are called BASES base leg Other nonparallel sides are called LEGS

Definition of an ISOSCELES Trapezoid- A trapezoid with Congruent legs base leg AND Congruent base angles

Name the following for trapezoid RSTW R S WT THE BASES: THE LEGS: ONE PAIR OF BASE ANGLES  R &  S ; or  T &  W

Median of a Trapezoid A M D B N C The median of any trapezoid is parallel to the bases The median is equal to half the SUM of the base lengths A median (MN) is a segment connecting the midpoints of the legs MN = 10 > > (sum of bases) (half of sum)

Examples – find the length of the median x 21+x

EF= m  1= m  2= m  3= m  4= m  5= 2 78   A B C D E F  102  78  50  130  Isosceles trapezoid? Corr  s  Base  s  Same Side interior - supplementary Corr  s  Same Side interior - supplementary

EF= m  1= m  2= m  3= m  4= m  5= 2 51  E F J K L M  129  51  129  51  Isosceles trapezoid?