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Date: Sec 8-5 Concept: Trapezoids and Kites Objective: Given properties of trapezoids and kites we will solve problems as measured by a s.g.
A quadrilateral with 1 pair of opposite sides parallel
A trapezoid with congruent legs
Properties of Isosceles Trapezoids Legs of an isosceles trapezoid are congruent Base angles of an isos. trap. are congruent Diagonals of an isos trap. are congruent
Example: CDEF is an isos. Trap. With CE = 10, and m
The midsegment of a trapezoid is parallel to each base and it length is 1/2 the sum of the lengths of the bases Midsegment A M BC N D MN=1/2 (BC+AD)
Example: Find the length of the midsegment MN D A B C M N 1210 MN = 1/2(12+10) = 1/2(22) = 11
Example: 4 7 x 7 = 1/2(4+x) 14 = 4+x 10 = x
A quadrilateral with 2 pairs of consecutive congruent sides
Properties of Kites There are 2 pairs of consecutive sides congruent There is exactly 1 pair of congruent angles Diagonals are perpendicular T R U S x
Example: RSTV is a kite. Find m
Example: GHJK is a kite. Find HP H J K G 5 4 X P Since the Diagonals are perpendicular, HPG is right. You can use the Pythagorean Thm. a 2 +b 2 =c x 2 = x 2 =25 x 2 =9 x=3
Trapezoids and Kites 1/16/13 Mrs. B. Objectives: Use properties of trapezoids. Use properties of kites.
6.5 Trapezoids and Kites. Trapezoids-Some Definitions A trapezoid is a quadrilateral with exactly one pair of opposite sides parallel. The parallel sides.
What is the most specific name for the quadrilateral? 2 pairs of opposite sides = parallelogram, then 1 right angle makes it a RECTANGLE.
Kites & Trapezoids Objective: Discover properties about kites & trapezoids.
Sec 1-4 Concepts: Classifying Angles Objectives: Given an angle, name, measure and classify it as measured by a s.g.
A quadrilateral with both pairs of opposite sides parallel *opposite sides are congruent *opposite angles are congruent *diagonals bisect each other.
MODULE VI LET’S GO MEASURE A KITE! AREAS OF QUADRILATERALS We have already discussed how to find the area of certain parallelograms. Today, we are going.
1 Objectives State the conditions under which you can prove a quadrilateral is a parallelogram.
Sec 6-3 to 6-5 Concept: Use Similar Polygons Objective: given 2 polygons, determine if they are similar and solve problems as measured by a s.g.
Date: Sec 5-4 Concept: Medians and Altitudes of a Triangle Objective: Given properties of medians and altitudes of triangles, we will solve problems as.
Task 2: Quadrilaterals Done by: 1- Abdullah Nabeel 2-Mohammad Naser.
6.2 Properties of Parallelograms. Properties of Parallelograms Theorem 6.2 If a quadrilateral is a parallelogram, then its opposite sides are congruent.
Honors Geometry Special Quadrilaterals. True/False Every square is a rhombus.
Holt CA Course Classifying Quadrilaterals Warm Up Warm Up California Standards Lesson Presentation Preview.
Honors Geometry Section 5.2 Areas of Triangles and Quadrilaterals.
Objectives: To identify and use the properties of triangles and quadrilaterals. Vocabulary:
6.2 P ROPERTIES OF P ARALLELOGRAMS OBJECTIVES: Prove and apply properties of parallelograms. Use properties of parallelograms to solve problems.
4.6 Isosceles Triangles What you’ll learn: 1.To use properties of isosceles triangles 2.To use properties of equilateral triangles.
Section 6-3 Prove that Quadrilateral is a Parallelogram SPI 32 H: apply properties of quadrilaterals to solve a real-world problem Objectives: Determine.
Triangles, Trapezoids & Kites Objective: Derive and use area formulas for triangles, trapezoids & kites.
6.3 Proving that a Quadrilateral is a Parallelogram If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Names Properties of Quadrilaterals Trapezium Parallelogram Rectangle Square Rhombus Kite.
Parallelograms ParallelogramRectangle RhombusSquare opposite sides parallel opposite sides congruent opposite angles congruent consecutive angles supplementary.
Properties of Special Triangles Objective: Write conjectures about isosceles triangles.
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.
Holt Geometry 6-6 Properties of Kites and Trapezoids 6-6 Properties of Kites and Trapezoids Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.
Honors Geometry Section 4.6 (1) Conditions for Special Quadrilaterals.
Honors Geometry Section 4.5 (2) Rectangles, Rhombuses & Squares.
Geometry Points, Lines, and Shapes!. Plane plane A flat surface that stretches into infinity.
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