Polygon Properties - Ch 5 Quadrilateral Sum Conjecture The sum of the measures of the four angles of any quadrilateral is…....360 degrees. C-30 p. 256.

Slides:



Advertisements
Similar presentations
Parallelograms Rhombus Square Parallelogram Rectangle
Advertisements

What am I?.
Math 310 Section 10 Quadrilaterals Review. Trapezoid Definition: A quadrilateral with a pair of parallel sides. Special Notes! All the properties of a.
Quadrilateral Venn Diagram
Unit 3– Quadrilaterals Review for Final Exam.
Quadrilaterals Project
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.
Similarity and Parallelograms.  Polygons whose corresponding side lengths are proportional and corresponding angles are congruent.
Chapter 6 Quadrilaterals.
Quadrilaterals Chapter 8.
Chapter 6: Quadrilaterals
Geometry Mr. Zampetti Unit 3, Day 4
* 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.
Special Parallelograms. Theorem 6-9 Each diagonal of a rhombus bisects the opposite angles it connects.
Kite, special member of Quadrilateral family. Family of Quadrilaterals.
Lesson 6-1. Warm-up Solve the following triangles using the Pythagorean Theorem a 2 + b 2 = c √3.
Kite , special member of Quadrilateral family
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.
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.
Final Exam Review Chapter 8 - Quadrilaterals Geometry Ms. Rinaldi.
Properties of Quadrilaterals. Quadrilateral Trapezoid Isosceles Trapezoid Parallelogram RhombusRectangle Quadrilateral Tree Kite Square.
=. Quadrilaterals A quadrilateral is any 4 sided polygon There are 6 different quadrilaterals Square Rectangle Parallelogram Trapezoid Rhombus Kite. The.
Kite Quadrilateral Trapezoid Parallelogram Isosceles Trapezoid Rhombus Rectangle Square Math 3 Hon – Unit 1: Quadrilateral Classifications.
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.
By: Sachita Ganesa, Brittany Laramee, Connor Shea and Sean Teebagy
Midsegments of a Triangle
Obj: SWBAT identify and classify quadrilaterals and their properties
Proofs with Quadrilaterals. Proving Quadrilaterals are Parallelograms Show that opposite sides are parallel by same slope. Show that both pairs of opposite.
Properties of Quadrilaterals
Quadrilateral Four sided polygon.
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.
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.
Four sided polygon Foldable 1. Take out a piece of notebook paper and make a hot dog fold over from the right side over to the pink line.
Honors Geometry. Diagonals of a rectangle are perpendicular.
Chapter 6, Section 1 Polygons. Describing a Polygon An enclosed figure (all segments) Two segments a point called a vertex Each segment is called.
Quick Discussion 10.1 Squares and Rectangles 10.2 Parallelograms and Rhombi 10.3 Kites and Trapezoids.
Parallelogram Rectangle Rhombus Square Trapezoid Kite
Quadrilaterals Four sided polygons Non-examples Examples.
What quadrilateral am I?.
Quadrilaterals By Austin Reichert. Two Diagonals!!! First comes the Trapezium!!! ◦No sides are parallel!
Quadrilateral Foldable!
Plane figure with segments for sides polygon. Point that divides a segment into two equal parts midpoint.
Chapter 7 Review.
Do Now: List all you know about the following parallelograms.
POLYGONS ( except Triangles)
Unit 5: Quadrilaterals & Polygons
Geometry Quick Discussion 10.1 Squares and Rectangles
Unit 5: Quadrilaterals & Polygons
6-4 Properties of Rhombuses, Rectangles, and Squares
Kite Definition: A quadrilateral with exactly two distinct pairs of congruent consecutive sides. Picture:
Trapezoid Special Notes!
Parallelogram Rectangle Rhombus Square Trapezoid Kite
EOC Prep Quadrilaterals
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.
THE SQUARE.
Y. Davis Geometry Notes Chapter 6.
Presentation transcript:

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

Polygon Properties - Ch 5 Pentagon Sum Conjecture The sum of the measures of the five angles of any pentagon is… degrees. C-31 p. 256

Polygon Properties - Ch 5 Polygon Sum Conjecture The sum of the measures of the n interior angles of an n-gon is… o (n - 2). C-32 p. 257

Polygon Properties - Ch 5 Exterior Angle Sum Conjecture For any polygon, the sum of the measures of a set of exterior angles is… degrees. C-33 p. 261

Polygon Properties - Ch 5 Equiangular Polygon Conjecture You can find the measure of each interior angle of an equiangular n-gon by using either of these formulas:… /n C-34 p (n - 2) / n

Polygon Properties - Ch 5 Kite Angles Conjecture The _____________ angles of a kite are _______________. nonvertex C-35 p. 267 congruent

Polygon Properties - Ch 5 Kite Diagonals Conjecture The diagonals of a kite are…....perpendicular. C-36 p. 267

Polygon Properties - Ch 5 Kite Diagonal Bisector Conjecture The diagonal connecting the vertex angles of a kite is the... __________________________... of the other diagonal. C-37 p. 267 …perpendicular bisector...

Polygon Properties - Ch 5 Kite Angle Bisector Conjecture The ______________ angles of a kite are ______________ by a ___________. C-38 p. 267 vertex bisected diagonal

Polygon Properties - Ch 5 Trapezoid Consecutive Angles Conjecture The consecutive angles between the bases of a trapezoid are…. C-39 p. 268 …supplementary.

Polygon Properties - Ch 5 Isosceles Trapezoid Conjecture The base angles of an isosceles trapezoid are …. C-40 p. 269 …congruent.

Polygon Properties - Ch 5 Isosceles Trapezoid Diagonals Conjecture The diagonals of an isosceles trapezoid are …. C-41 p. 269 …congruent

Polygon Properties - Ch 5 Three Midsegments Conjecture The three midsegments of a triangle divide it into… C-42 p four congruent triangles.

Polygon Properties - Ch 5 Triangle Midsegment Conjecture A midsegment of a triangle is __________ to the third side and is ___________ the length of __________________. C-43 p. 274 parallel half the third side

Polygon Properties - Ch 5 Trapezoid Midsegment Conjecture The midsegment of a trapezoid is _________ to the bases and is equal in length to __________________________________ C-44 p. 275 parallel the average of the lengths of the bases.

Polygon Properties - Ch 5 Parallelogram Opposite Angles Conjecture The opposite angles of a parallelogram are… C-45 p congruent.

Polygon Properties - Ch 5 Parallelogram Consecutive Angles Conjecture The consecutive angles of a parallelogram are… C-46 p supplementary.

Polygon Properties - Ch 5 Parallelogram Opposite Sides Conjecture The opposite sides of a parallelogram are… C-47 p congruent.

Polygon Properties - Ch 5 Parallelogram Diagonals Conjecture The diagonals of a parallelogram… C-48 p bisect each other.

Polygon Properties - Ch 5 Double-edged Straightedge Conjecture If two parallel lines are intersected by a second pair of parallel lines that are the same distance apart as the first pair, then the parallelogram formed is a … C-49 p rhombus.

Polygon Properties - Ch 5 Rhombus Diagonals Conjecture The diagonals of a rhombus are… C-50 p perpendicular and they......bisect each other.

Polygon Properties - Ch 5 Rhombus Angles Conjecture The ______________ of a rhombus _______ the angles of the rhombus. C-51 p. 288 diagonals bisect

Polygon Properties - Ch 5 Rectangle Diagonals Conjecture The diagonals of a rectangle are ___________ and they __________ each other. C-52 p. 289 congruent bisect

Polygon Properties - Ch 5 Square Diagonals Conjecture The diagonals of a square are __________ and ______________ and they _________________. C-53 p. 290 congruent perpendicular bisect each other