Warm Up 1.) In ABCD, m ∠ A = 3x + 15 and m ∠ C = 5x – 17. What is the value of x? 2.) In KJLM, KJ = 10y – 5 and LM = -6y + 27. What is the value of y?

Slides:

Advertisements

Similar presentations

6.4 Rhombuses, Rectangles, and Squares

Advertisements

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.

Parallelogram A quadrilateral with both pairs of opposite sides parallel *opposite sides are congruent *opposite angles are congruent *diagonals bisect.

Parallelograms Rhombus Square Parallelogram Rectangle

A Parade of Four-Sided Polygons Created By: 2BrokeTeachers

Quadrilateral Properties

EXAMPLE Rhombuses, Rectangles, and Squares Learn to identify each of the special parallelograms: rhombus, rectangle, and square. The Venn diagram.

Quadrilaterals Project

Chapter 6+. The opposite sides of a parallelogram are __________ and __________.

2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Slope and Distance Trapezoids What.

Polygons with 4 sides and 4 angles

Properties of Rhombuses, Rectangles, & Squares Goal: Use properties of rhombuses, rectangles, & squares.

8.6 – Identify Special Quadrilaterals

Quadrilaterals.

Final Jeopardy Question Category 1 Quadrilaterals Category 2 Traps & Kites 100 Category 6 Name that Quad Category 4 Rhombuses and Rectangles Category 5.

Activity In your group, you will be given a card. You will be using a Bubble Map to describe the shape. In the middle of the Bubble Map, please draw the.

Chapter 8.4 Notes: Properties of Rhombuses, Rectangles, and Squares

*Draw this diagram in your notes. *It should be in landscape and take up the whole page.

All about Shapes Ask Boffin!.

5.10 Properties of Rhombuses, Rectangles, and Squares

A parallelogram has opposite sides and opposite angles equal.

Name That Quadrilateral  Be as specific as possible.  Trapezoid.

A. Slack. A parallelogram has opposite sides and opposite angles equal.

For each, attempt to create a counter example or find the shape is MUST be….. Quadrilateral Properties.

Quadrilateral Properties

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

Special Quadrilaterals

Final Jeopardy Question Parallel Lines Sometimes, Always, Never True or False Name that Quad. Find X Jeopardy.

Has 4 sides all side LENGTHS congruent  LENGTHS of opposite sides congruent  both opposite sides PARALLEL  all right ANGLES

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

6.4 Properties of Rhombuses, Rectangles, and Squares A rhombus is a parallelogram with four congruent sides. A rectangle is a parallelogram with four right.

Ch. 6: Parallelograms, Rhombus, and Rectangles Possible or Impossible for the described quadrilateral to be a parallelogram…

5.4 Special Quadrilaterals

Rhombi & Squares Section 8-5. rhombus – a quadrilateral with 4 congruent sides Since a rhombus is a parallelogram, it has all the properties of a parallelogram.

Rhombuses, Rectangles, and Squares

Name the below quadrilaterals. Ext: Can you find another name?

Special Parallelograms

CHAPTER 5: QUADRILATERALS

6.4 Rhombus, Rectangles and Squares

6.4 Rhombuses, Rectangles, and Squares

Geometry 6-4 Properties of Rhombuses, Rectangles, and Squares.

7.4 Special Parallelograms

Proofs with Quadrilaterals. Proving Quadrilaterals are Parallelograms Show that opposite sides are parallel by same slope. Show that both pairs of opposite.

6-4 Properties of Rhombuses, Rectangles, and Squares

Draw two lines which intersect at a right angle. From the intersection point measure the same distance along each line and in both directions. Join the.

Section 4.1: polygons.

A quadrilateral is any 2- dimensional, four- sided shape.

Unit 9 – M1F.  Good Morning!! As you walk in, please pick up your calculator and begin working on your warm-up! 1. Put the following equation in slope.

6-4 Properties of Rhombuses, Rectangles, and Squares

Properties of Rhombuses, Rectangles, and Squares Lesson 8.4.

Created by chris markstrum © Rhombi, Rectangles, and Squares California State Standards for Geometry 4: Prove basic theorems involving congruence.

Quadrilaterals Lesson 11 – 5. Quadrilateral Def: a 4 sided polygon. or ‘ a figure with 4 sides and 4 angles’ **The SUM of the 4 angles must equal 360º**

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

Warm Up 2/22/16  Which vertices form a square?  A rhombus?  A rectangle? Justify your answers.

Always, Sometimes, or Never

Classifying Quadrilaterals

Sect. 6.7 Areas of Triangles and Quadrilaterals Goal 1 Using Area Formulas Goal 2 Areas of Trapezoids, Kites and Rhombuses.

A rhombus is a parallelogram with __ ________________ ___________. A rectangle is a parallelogram with ___ __________ ____________. A square is a parallelogram.

Unit 3 Geometry Gallery Properties of Special Quadrilaterals (Rectangle, Rhombus, Square) Sections 5.10, 5.12 Standards: MM1G3d Understand, use, and prove.

Warm Up:  Solve for x and y in the following parallelogram. What properties of parallelograms did you use when solving?  What is the measure of CD? 

5.10 Properties of Rhombuses, Rectangles, and Squares

6.4 Rhombi, Rectangles, and Squares

Properties of Special Quadrilaterals

Acute Triangle Definition A triangle that has three acute angles.

Section 6.4 rhombuses, rectangles and squares

A Parade of Four-Sided Polygons Created By: 2BrokeTeachers

8.4 Properties of Rhombuses, Rectangles, and Squares

Parallelogram Definition A quadrilateral with two pairs of parallel sides.

8-5: Rhombi and Squares.

Presentation transcript:

Warm Up 1.) In ABCD, m ∠ A = 3x + 15 and m ∠ C = 5x – 17. What is the value of x? 2.) In KJLM, KJ = 10y – 5 and LM = -6y What is the value of y?

6.4 Rhombuses, Rectangles, and Squares

Rectangle: A parallelogram that is equiangular

Rhombus: A parallelogram that is equilateral

Square: A parallelogram that is equilateral and equiangular

Parallelogram RectangleRhombus Square

Always, Sometimes, Never 1.) A square is a rectangle. 2.) A rhombus is a square. 4.) A parallelogram is a rhombus. 3.) A rectangle is a rhombus. Always Sometimes 5.) A rectangle is a parallelogram.Always

Warm Up - What shape am I? 1) I am a quadrilateral with 4 right angles. 2) I am a quadrilateral with opposite side congruent. 3) I am a quadrilateral with diagonals congruent and perpendicular. 4) I am a quadrilateral with 4 congruent sides.

Ex. 1 EFGH is a rectangle. K is the midpoint of FH. If EG = 8z – 16, what is the length of EK? GK? Hint: Draw a picture to organize the info.

Ex. 2 ABCD is a square and m ∠ B = 8x What is the value of x? Hint: Draw a picture to organize the info.

Rectangle

Ex. 4 In RSTV, the diagonals form a pair of congruent angles at each vertex. What shape am I? Hint: Draw a picture to organize the info. Rhombus