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.

Slides:

Advertisements

Similar presentations

6.5 Trapezoids and Kites.

Advertisements

6.5 Trapezoids and Kites Goal – I understand and can apply the properties of a trapezoid and kite. “To be beautiful means to be yourself. You don't need.

6.5 Trapezoids & Kites. Trapezoid Is a quadrilateral with exactly 1 pair of parallel sides.

: Quadrilaterals and Their Properties

Honors Geometry Section 4.5 (3) Trapezoids and Kites.

Chapter 6 Section 6 1.

Trapezoids & Kites. Trapezoid Is a quadrilateral with exactly 1 pair of parallel sides.

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, _________________.

8.5 Use properties of kites and trapezoids

Use Properties of Trapezoids and Kites Goal: Use properties of trapezoids and kites.

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.

Polygons and Quadrilaterals Unit

The Distance Formula Used to find the distance between two points: A( x1, y1) and B(x2, y2) You also could just plot the points and use the Pythagorean.

8.5 Trapezoids.

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

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

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.

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

8.5 TRAPEZOIDS AND KITES QUADRILATERALS. OBJECTIVES: Use properties of trapezoids. Use properties of kites.

8.5 Trapezoids and Kites. Objectives: Use properties of trapezoids. Use properties of kites.

Geometry Section 8.5 Use Properties of Trapezoids and Kites.

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

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

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.

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.

Friday, November 30, 2012 Agenda: TISK, No MM Upcoming Important Dates Solve problems using properties of trapezoids and kites. Homework: No HW – Project.

7.5 Trapezoids and Kites. Trapezoids Definition- A quadrilateral with exactly one pair of parallel sides. Bases – Parallel sides Legs – Non-parallel sides.

Lesson 6 – 6 Trapezoids and Kites

A QUADRALATERAL WITH BOTH PAIRS OF OPPOSITE SIDES PARALLEL

Chapter 8 Quadrilaterals. Section 8-1 Quadrilaterals.

Midsegments of a Triangle

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.

6-6 p.389. Trapezoids A quadrilateral with exactly ONE pair of parallel sides Parallel sides are called bases Other 2 sides are called legs Angles that.

Special Quadrilaterals Properties of Kites & Trapezoids.

Math 2 Geometry Based on Elementary Geometry, 3 rd ed, by Alexander & Koeberlein 4.4 The Trapezoid.

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

TRAPEZOIDS Recognize and apply the properties of trapezoids. Solve problems involving the medians of trapezoids. Trapezoid building blocks Text p. 439.

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°

5.4 Quadrilaterals Objectives: Review the properties of quadrilaterals.

6.5 Trapezoids. Objectives: Use properties of trapezoids.

Use Properties of Trapezoids and Kites Lesson 8.5.

6.5 Trapezoid and Kites. Warmup  Which of these sums is equal to a negative number? A) (4) + (-7) + (6) B) (-7) + (-4) C) (-4) + (7) D) (4) + (7)  In.

6.5 Trapezoids and kites Base angles Isosceles trapezoids Midsegments.

Section 6-5 Trapezoids and Kites. Trapezoid A quadrilateral with exactly one pair of parallel sides.

base leg > > AB C D

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.

6.5 TRAPEZOIDS OBJECTIVE: USE PROPERTIES OF TRAPEZOIDS.

8.5 Use Properties of Trapezoids and Kites Hubarth Geometry.

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

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

6.6 Trapezoids & Kites.

6.5 Trapezoids.

Trapezoids and Kites Section 7.5.

6-6 Trapezoids & Kites The student will be able to:

Properties of Trapezoids and Kites

Lesson 8.5: Properties of Trapezoids and Kites

Geometry 6.5 Trapezoids and Kites.

Tear out pages do problems 5-7, 9-13 I will go over it in 15 minutes!

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

Base angles Isosceles trapezoids Midsegments

6.6 Trapezoids Quadrilateral with exactly 1 pair of parallel sides called bases. Base Leg Base Angles.

Unit 6 – Polygons and Quadrilaterals Conditions for Special Quads

Presentation transcript:

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 common side is a base of the trapezoid Trapezoids have 2 pairs of base angles. The legs of a trapezoid are the 2 nonparallel sides

Figure QRST is a trapezoid QR and TS are bases <Q and <R are base angles <T and <S are base angles QT and RS are legs of trapezoid Q R ST

Midsegment of a trapezoid The midsegment of a trapezoid is the segment whose endpoints are the midpoints of the legs of the trapezoid

Theorem 69-1 trapezoid midsegment theorem The midsegment of a trapezoid is parallel to both bases and has a length that is equal to half the sum of the bases EF is midsegment EF is parallel to AB EF is parallel to D EF = ½(AB + DC) E F

Find the length of EF E F

Properties of Isosceles Trapezoids Base angles of an isosceles trapezoid are congruent. If trapezoid ABCD is isosceles, then <A is congruent to <B and <C is congruent to <D

Properties of Isosceles Trapezoids The diagonals of an isosceles trapezoid are congruent

Isosceles Trapezoid Notes Add the following bullets to the Trapezoid Box of your flowchart ONE pair of parallel sides Base angles are congruent Midsegment measure is the average of the bases and its parallel to them Legs are congruent Diagonals are congruent

Properties of Kites Kites are quadrilaterals with exactly 2 pairs of congruent adjacent sides The diagonals of a kite are perpendicular

Find the lengths of the sides of the kite W X Y Z

practice EF is the midsegment of trap ABCD. Find the length of CD 22 in. 38 in.

Find the measures of the angles in trapezoid 48

Find BE AC = 17.5, AE = 9.6 E

Find the lengths of the sides of kite to the nearest tenth

Kite Notes Add the following bullets to the Kites Box of your flowchart Consecutive sides are congruent Line of symmetry is one of the diagonals Diagonals are perpendicular Line of symmetry bisects the other diagonal Kites are formed by 2 Isosceles Triangles