Journal 6 By: Maria Jose Diaz-Duran. Describe what a polygon is. Include a discussion about the parts of a polygon. Also compare and contrast a convex.

Slides:

Advertisements

Similar presentations

Quadrilaterals and Other Polygons

Advertisements

Quadrilateral Venn Diagram

Unit 3– Quadrilaterals Review for Final Exam.

: Quadrilaterals and Their Properties

Chapter 6.1 Common Core G.DRT.5 – Use Congruence…criteria to solve problems and prove relationships in geometric figures. Objectives – To find the sum.

BY: MARIANA BELTRANENA 9-5 POLYGONS AND QUADRILATERALS.

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.

Jose Pablo Reyes. Polygon: Any plane figure with 3 o more sides Parts of a polygon: side – one of the segments that is part of the polygon Diagonal –

Quadrilaterals Bryce Hall 4 Wennersten.

Quadrilateral Proofs.

Chapter 3 Polygons.

Chapter 6. Formed by 3 or more segments (sides) Each side intersects only 2 other sides (one at each endpoint)

Chapter 6 Notes.

Chapter 6 Quadrilaterals.

Quadrilaterals Chapter 8.

Bellwork  Solve for x x-2 5x-13 No Clickers. Bellwork Solution  Solve for x x-2 5x-13.

Chapter 6: Quadrilaterals

Polygon Properties - Ch 5 Quadrilateral Sum Conjecture The sum of the measures of the four angles of any quadrilateral is… degrees. C-30 p. 256.

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

Polygons – Parallelograms A polygon with four sides is called a quadrilateral. A special type of quadrilateral is called a parallelogram.

Chapter 6 Quadrilaterals. Section 6.1 Polygons Polygon A polygon is formed by three or more segments called sides –No two sides with a common endpoint.

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

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

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

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

Special Quadrilaterals

Quadrilaterals MATH 124. Quadrilaterals All quadrilaterals have four sides. All sides are line segments that connect at endpoints. The most widely accepted.

Aim: what are the properties of quadrilaterals? Do Now: Name 2 ways to identify a parallelogram as a square 1.A rectangle with 1 pair of consecutive congruent.

A QUADRALATERAL WITH BOTH PAIRS OF OPPOSITE SIDES PARALLEL

Chapter 6.1 Notes Polygon – is a simple, closed figure made with straight lines. vertex vertex side side Convex – has no indentation Concave – has an indentation.

Objectives To identify any quadrilateral, by name, as specifically as you can, based on its characteristics.

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

PROPERTIES AND ATTRIBUTES OF POLYGONS

Geometry SECTION 6: QUADRILATERALS. Properties of Parallelograms.

Unit 7 Quadrilaterals. Polygons Polygon A polygon is formed by three or more segments called sides –No two sides with a common endpoint are collinear.

Quadrilaterals Four sided polygons.

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

By: Gabriel Morales Journal Chapter 6. 3 I want Corrected (0-10 pts.) Describe what a polygon is. Include a discussion about the parts of a polygon. Also.

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.

Chapter 6, Section 1 Polygons. Describing a Polygon An enclosed figure (all segments) Two segments a point called a vertex Each segment is called.

Quadrilaterals Four sided polygons Non-examples Examples.

Journal 6 Cristian Brenner. Polygons A polygon is a close figuire with straight sides that the line dont interset each other. With three or more segments.

Quadrilateral Foldable!

=1(180)= =3(180)= =2(180)= =4 (180)=720.

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

A polygon that is equilateral and equiangular. Regular polygon.

Journal 6: Polygons Delia Coloma 9-5.

Final 100 Terms & Definitions Always, Sometimes Or Never.

Chapter 7 Review.

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

POLYGONS ( except Triangles)

Chapter 6.1 Notes Polygon – is a simple, closed figure made with straight lines. vertex vertex side side Convex – has no.

Math Journal 6.

Polygons and Quadrilaterals

BY: Amani Mubarak 9-5 Journal chapter 6.

Journal chapter 6 By Santiago Romero.

6.1 The Polygon angle-sum theorems

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

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.

Y. Davis Geometry Notes Chapter 6.

Presentation transcript:

Journal 6 By: Maria Jose Diaz-Duran

Describe what a polygon is. Include a discussion about the parts of a polygon. Also compare and contrast a convex with a concave polygon. Compare and contrast equilateral and equiangular. Give 3 examples of each. A polygon is closed figure formed by 3 or more segments. ConvexConcave No points to the center of the figure, no diagonal to the exterior also a regular polygon is always convex. If it goes to the center of the figure, contains points in the exterior of a polygon EquilateralEquiangular All sides are congruentA polygon in which all angels are congruent

Examples

Explain the Interior angles theorem for quadrilaterals. Give at least 3 examples. The sum of the interior angle measures of a convex polygon with n sides is (n-2)180

Examples A. Find the sum of the interior angel measures of a convex octagon: (n-2)180 (8-2) B. Find the measures of each interior angle of a regular nonagon Step 1: (n-2)180 (9-2) Step 2: Find the measures of 1 interior angle 1260/9= 140 C. Find the measure of each interior angle of quadrilateral PQRS. (4-2)180=360 M<p + M<Q + M<R +M<S=360 C+ 3C+ C+ 3C=360 8C=360 C=45

Describe the 4 theorems of parallelograms and their converse and explain how they are used. Give at least 3 examples of each. TheoremsConverse If a quadrilateral is a parallelogram, then its opposite sides are congruent If its opposite sides are congruent, then a quadrilateral is a parallelogram If a quadrilateral is a parallelogram, then its opposite angles are congruent If the opposite angles are congruent, then a quadrilateral is a parallelogram If a quadrilateral is a parallelogram, then its consecutive angles are supplementary If its consecutive angles are supplementary then a quadrilateral is a parallelogram If a quadrilateral is a parallelogram, then its diagonal bisect each other If its diagonals bisect each other then a quadrilateral is a parallelogram

Examples If a quadrilateral is a parallelogram, then its opposite sides are congruent If a quadrilateral is a parallelogram, then its opposite angles are congruent If a quadrilateral is a parallelogram, then its consecutive angles are supplementary If a quadrilateral is a parallelogram, then its diagonal bisect each other

Describe how to prove that a quadrilateral is a parallelogram. Include an explanation about theorem Give at least 3 examples of each. Theorems If one pair of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram If both pairs of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram If both pair of opposite angels of a quadrilateral are congruent then then quadrilateral is a parallelogram.

Examples If one pair of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram If both pairs of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram If both pair of opposite angels of a quadrilateral are congruent then then quadrilateral is a parallelogram.

Compare and contrast a rhombus with a square with a rectangle. Describe the rhombus, square and rectangle theorems. Give at least 3 examples of each. RectangleSquareRhombus A quadrilateral with four right angles. A quadrilateral with four right angles and four congruent sides A quadrilateral with four congruent sides. Theorems If a quadrilateral is a rectangle, then it is a parallelogram A quadrilateral is a square if and only if it is a rhombus and a rectangle. If a quadrilateral is a rhombus then its is a parallelogram If a parallelogram is a rectangle then its diagonals are congruent If a parallelogram is a rhombus then its diagonals are perpendicular If a parallelogram is a rhombus, then each diagonal bisects a pair of opposite angles.

Examples

Describe a trapezoid. Explain the trapezoidal theorems. Give at least 3 examples each Trapezoid A quadrilateral with exactly one pair of parallel sides, each of the parallel sides is called a base and the nonparallel sides are called legs. Theorems Isosceles Trapezoids: if a quadrilateral is an isosceles trapezoid, then each pair of base angles are congruent. if a trapezoid has one pair of congruent base angles, then the trapezoid is isosceles. A trapezoid is isosceles if and only if its diagonals are congruent Trapezoid Midsegment Theorems: The midsegment of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases.

Examples

Describe a kite. Explain the kite theorems. Give at least 3 examples of each. Kite A quadrilateral with exactly two pairs of consecutive sides. Theorems If a quadrilateral is a kite, then its diagonals are perpendicular. If a quadrilateral is a kite, then exactly one pair of opposite angles are congruent.

Examples If a quadrilateral is a kite, then its diagonals are perpendicular. If a quadrilateral is a kite, then exactly one pair of opposite angles are congruent.

Describe how to find the areas of a square, rectangle, triangle, parallelogram, trapezoid, kite and rhombus. Give at least 3 examples of each. Areas: SquareTo find the area of a square, multiply the lengths of two sides together (XxX=X2) RectangleTo find the area of a rectangle, just multiply the length times the width: (LxW) Triangle1/2 xbxh or bxh/2 ParallelogramTo find the area of a parallelogram, just multiply the base length (b) times the height (h) (BxH) Trapezoid½ H(B+b) KiteTo find the area of a kite, multiply the lengths of the two diagonals and divide by 2 (1/2AB) RhombusTo find the area of a rhombus, multiply the lengths of the two diagonals and divide by 2 (1/2AB)

Examples

Describe the 3 area postulates and how they are used. Give at least 3 examples of each. 1.Area of a Square Postulate: The area of a square is the square of the length of a side. 2.Area Congruence Postulate: If two closed figures are congruent then they have the same area. 3. Area Addition Postulate: The area of a region is the sum of the areas of its non- overlapping parts.

Examples Area of a Square Postulate Area Congruence Postulate Area Addition Postulate