Trapezoids and Kites Additional Properties. Trapezoid General Definition one set of parallel sides.

Slides:



Advertisements
Similar presentations
Kites & Trapezoids Objective: Discover properties about kites & trapezoids.
Advertisements

Objective: Discover properties about kites & trapezoids
Date: Sec 8-5 Concept: Trapezoids and Kites
Special Quadrilaterals
Quadrilateral Venn Diagram
5.5 Properties of Quadrilaterals Objective: After studying this section, you will be able to identify some properties of: a. parallelograms, b. rectangles,
Sect. 6.5 Trapezoids and Kites Goal 1 Using Properties of Trapezoids Goal 2 Using Properties of Kites.
CP Geometry Mr. Gallo. What is a Trapezoid Trapezoid Isosceles Trapezoid leg Base Base Angles leg Base Angles If a quadrilateral is a trapezoid, _________________.
6.6 Trapezoids and Kites A trapezoid is a quadrilateral with exactly one pair of parallel sides. The parallel sides of a trapezoid are called bases. The.
Trapezoids and Kites Chapter 6 Section 6 Tr.
6-6 Trapezoids and Kites.
Trapezoids and Kites Chapter 8, Section 5 (8.5).
Trapezoids and Kites Section 8.5.
Quadrilateral Proofs.
Proving That Figures Are Special Quadrilaterals
Polygons and Quadrilaterals Unit
Proof Geometry.  All quadrilaterals have four sides.  They also have four angles.  The sum of the four angles totals 360°.  These properties are.
5.11 Use Properties of Trapezoids and Kites. Vocabulary  Trapezoid – a quadrilateral with exactly one pair of parallel sides. Base Base Angle Leg.
Types of Quadrilaterals (4-sided figures)
Geometry Section 8.5 Use Properties of Trapezoids and Kites.
Trapezoids & Kites Sec 6.5 GOALS: To use properties of trapezoids and kites.
6-6 Trapezoids and Kites Objective: To verify and use properties of trapezoids and kites.
6.5: TRAPEZOIDS AND KITES OBJECTIVE: TO VERIFY AND USE PROPERTIES OF TRAPEZOIDS AND KITES.
7.5 Trapezoids and Kites. Trapezoids Definition- A quadrilateral with exactly one pair of parallel sides. Bases – Parallel sides Legs – Non-parallel sides.
6-5 Trapezoids and Kites M11.C C Objectives: 1) To verify and use properties of trapezoids and kites.
Quadrilaterals ParallelogramsRectangleRhombusTrapezoids Isosceles Trapezoid Squares Orange Book Page 14: Do you know the tree?
Properties of Quadrilaterals
Lesson 2.17: Trapezoid & Kites 1 Lesson 6-5 Trapezoids and Kites.
Special Quadrilaterals Properties of Kites & Trapezoids.
8.5 Kites & Trapezoids.
Geometry SECTION 6: QUADRILATERALS. Properties of Parallelograms.
Warm-Up Sect. 6.5 Trapezoids and Kites Goal 1 Using Properties of Trapezoids Goal 2 Using Properties of Kites.
Special Quadrilaterals. KITE  Exactly 2 distinct pairs of adjacent congruent sides  Diagonals are perpendicular  Angles a are congruent.
Lesson 6.6 Trapezoids and Kites Definition  Kite – a quadrilateral that has two pairs of consecutive congruent sides, but opposite sides are not congruent.
Properties of Quadrilaterals (4-sided figures) Learning Target: Students can use coordinates to prove simple geometric theorems algebraically.
Use Properties of Trapezoids and Kites Lesson 8.5.
What quadrilateral am I?.
Advanced Geometry 5.7 Proving Special Quadrilaterals.
7/1/ : Properties of Quadrilaterals Objectives: a. Define quadrilateral, parallelogram, rhombus, rectangle, square and trapezoid. b. Identify the.
6.5 Trapezoids and kites Base angles Isosceles trapezoids Midsegments.
LESSON 6.5 TRAPEZOIDS AND KITES OBJECTIVE: Verify and use properties of trapezoids and kites.
8.5 Trapezoids. Parts of a Trapezoid Parts The bases of a trapezoid are the parallel sides The legs of the trapezoid connect the bases The base angles.
5.5 Properties of Quadrilaterals
QUADRILATERALS.
Warm-Up.
Trapezoids and Kites Objective: Students will be able to apply additional properties to prove shapes are triangles and kites.
Trapezoids and Kites Section 7.5.
Trapezoids One pair of parallel sides. (called Base)
Geometry Quick Discussion 10.1 Squares and Rectangles
Properties of Trapezoids and Kites
Lesson 8.5: Properties of Trapezoids and Kites
Kite Definition: A quadrilateral with exactly two distinct pairs of congruent consecutive sides. Picture:
Chapter 7 Proofs and Conditional Probability
Lesson 6-5: Trapezoid & Kites
Trapezoid Special Notes!
Chapter 7 Proofs and Conditional Probability
Warm-Up.
6.6 Trapezoids and Kites Geometry R/H.
Kites, Trapezoids, Midsegments
Trapezoid and Isosceles Trapezoid
Lesson 6-5: Trapezoid & Kites
Tear out pages do problems 5-7, 9-13 I will go over it in 15 minutes!
6.4 Rhombuses, Rectangles, and Squares 6.5 Trapezoids and Kites
Go over the Test.
Some Special Properties of Parallelograms
Trapezoids and Kites.
Base angles Isosceles trapezoids Midsegments
What are the main properties of Trapezoids and Kites?
9-6: Rhombus, Rectangle, and Square
Go over the Test.
Presentation transcript:

Trapezoids and Kites Additional Properties

Trapezoid General Definition one set of parallel sides

Types of Trapezoids Scalene or basic trap – previous page Right Trap – has two right angles on same leg Isosceles Trap – both legs are congruent

Diagonals of an Isosceles Trapezoid Can you prove the diagonals congruent Given: Isosceles Trapezoid Prove: AC=BD

Examples Trap

Kite Two pairs of consecutive sides congruent

Kite Properties Given: Kite Prove: <A=<C Angles formed by non congruent sides are congruent

Kite Properties Given: Kite Prove: <ADB=<CDB and <ABD=<CBD (segment BD is an angle bisector) Diagonal connecting non congruent angles bisects Those angles

Kite Properties Given: Kite Prove: AE=CE Diagonal connecting the congruent angles is bisected by the other diagonal

Kite Properties The two diagonals of a kite are perpendicular How would you prove this? Pythagorean Theroem

Examples Kites

Summary Trapezoid – 1 pair of parallel sides Right Trapezoid – 1 pair of parallel sides, with 1 leg perpendicular to both sides Isosceles Trapezoid – 1 pair of parallel sides and both legs are congruent - diagonals are congruent Kite – 2 pairs of consecutive sides congruent - angles formed by non congruent sides are congruent - diagonals are perpendicular - diagonal connecting non congruent angles is an angle bisector - diagonal connecting congruent angles is bisected by other diagonal

Homework Pg Honors 9 and 10