Holt Geometry 6-4 Properties of Special Parallelograms Warm Up Solve for x. 1. 16x – 3 = 12x + 13 2. 2x – 4 = 90 ABCD is a parallelogram. Find each measure.

Slides:

Advertisements

Similar presentations

C HAPTER 6 Q UIZZES. 1. Name the polygon by the number of its sides. Then tell whether the polygon is regular or irregular, concave or convex. 2. Find.

Advertisements

Review Sections 6.1,6.2,6.4,6.6 Section 6.1

6-5 Conditions for Special Parallelograms Warm Up Lesson Presentation

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.

6-4 Properties of Special Parallelograms Warm Up Lesson Presentation

Rectangles, Rhombi, and Squares

Determine if each quadrilateral must be a parallelogram. Tell me why. 1. Warm Up

6.4 Rhombuses, Rectangles, and Squares Day 4 Review  Find the value of the variables. 52° 68° h p (2p-14)° 50° 52° + 68° + h = 180° 120° + h = 180 °

Properties of special parallelograms

When you are given a parallelogram with certain properties, you can use the theorems below to determine whether the parallelogram is a rectangle.

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.

6-4 Rhombuses, Rectangles and Squares Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.

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

Holt Geometry 6-5 Conditions for Special Parallelograms Warm Up 1. Find AB for A (–3, 5) and B (1, 2). 2. Find the slope of JK for J(–4, 4) and K(3, –3).

A second type of special quadrilateral is a rectangle. A rectangle is a quadrilateral with four right angles. Since a rectangle is a parallelogram by Theorem.

5.4 Special Quadrilaterals

Conditions for Parallelograms

Parallelograms have Properties Click to view What is a parallelogram? A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

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.

6-4 special parallelograms

Rhombuses, Rectangles, and Squares

Special Parallelograms

6-4 Properties of Special Parallelograms Lesson Presentation

CHAPTER 5: QUADRILATERALS

Warm Up 1. A woodworker constructs a rectangular picture frame so that JK = 50 cm and JL = 86 cm. Find HM. 2. A slab of concrete is poured with diagonal.

6.4 Rhombuses, Rectangles, and Squares

 Geometry 8.4 SWLT: Use Properties of Rhombuses, Rectangles, and Squares.

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

 Rhombus – a parallelogram with four congruent sides.  Rectangle – a parallelogram with four right angles.

6-4 Properties of Rhombuses, Rectangles, and Squares

6-4 Properties of Special Parallelograms Warm Up Lesson Presentation

6-4 Properties of Special Parallelograms Warm Up Lesson Presentation

6-4 Properties of Rhombuses, Rectangles, and Squares

Properties of Rhombuses, Rectangles, and Squares Lesson 8.4.

Holt Geometry 6-4 Properties of Special Parallelograms 6-4 Properties of Special Parallelograms Holt Geometry Warm Up Warm Up Lesson Presentation Lesson.

Properties of Special Parallelograms 6.4 Properties of Rhombuses, Rectangles and Squares I can prove and apply properties of rectangles, rhombuses, and.

Geometry Section 8.4 Properties of Rhombuses, Rectangles, and Squares.

[6-4] Properties of Rhombuses, Rectangles, and Squares

6-4 Properties of Rhombuses, Rectangles and Squares Objectives: To define and classify types of parallelograms To use properties of diagonals of rhombuses.

Warm Up Solve for x x – 3 = 12x x – 4 = 90

Geometry Section 6.3 Conditions for Special Quadrilaterals.

Holt Geometry 6-4 Properties of Special Parallelograms Entry Task ABCD is a parallelogram. Find each measure. 1. CD2. mC °

6-5 Conditions for Special Parallelograms Warm Up Lesson Presentation

Advanced Geometry 5.7 Proving Special Quadrilaterals.

Properties of Special Parallelograms. Since a rectangle is a parallelogram by Theorem 6-4-1, a rectangle “inherits” all the properties of parallelograms.

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? 

Special Parallelograms. Warm Up 1.What is the sum of the interior angles of 11-gon. 2.Given Parallelogram ABCD, what is the value of y? 3.Explain why.

Objectives Prove and apply properties of rectangles, rhombuses, and squares. Use properties of rectangles, rhombuses, and squares to solve problems.

7-4 Leaning Objectives To learn about the properties of rectangles, rhombuses, and squares and to apply them while solving problems.

G-4 “I can prove theorems about parallelograms”

Warm Up(On Separate Sheet & Pass Back Papers)

6.4 Rhombuses, Rectangles, and Squares

Parallelogram, rectangle, rhombus and squares

8.4 Properties of Rhombuses, Rectangles, and Squares

Date: Topic: Rhombi, Rectangles, and Squares (7.2)

Properties of Special Parallelograms

19/02/2014 CH.7.3 Factoring x2 + bx + c.

18/02/2014 CH.6.5 Conditions for Special Parallelogram

Objectives Prove and apply properties of rectangles, rhombuses, and squares. Use properties of rectangles, rhombuses, and squares to solve problems.

Pearson Unit 1 Topic 6: Polygons and Quadrilaterals 6-4: Properties of Rhombuses, Rectangles, and Squares Pearson Texas Geometry ©2016 Holt Geometry.

6-4: Properties of Special Parallelograms

6-4 Properties of Special Parallelograms

6.4 Properties of special parallelogram

8.4 Properties of Rhombuses, Rectangles, and Squares

Properties of Special Parallelograms

6-4 Properties of Special Parallelograms Warm Up Lesson Presentation

6.4 Properties of Special Parallelograms

Go over the Test.

Presentation transcript:

Holt Geometry 6-4 Properties of Special Parallelograms Warm Up Solve for x x – 3 = 12x x – 4 = 90 ABCD is a parallelogram. Find each measure. 3. CD4. mC

Holt Geometry 6-4 Properties of Special Parallelograms Prove and apply properties of rectangles, rhombuses, and squares. Use properties of rectangles, rhombuses, and squares to solve problems. Objectives

Holt Geometry 6-4 Properties of Special Parallelograms A second type of special quadrilateral is a rectangle. A rectangle is a quadrilateral with four right angles.

Holt Geometry 6-4 Properties of Special Parallelograms

Holt Geometry 6-4 Properties of Special Parallelograms A woodworker constructs a rectangular picture frame so that JK = 50 cm and JL = 86 cm. Find HM.

Holt Geometry 6-4 Properties of Special Parallelograms Carpentry The rectangular gate has diagonal braces. Find HK.

Holt Geometry 6-4 Properties of Special Parallelograms A rhombus is another special quadrilateral. A rhombus is a quadrilateral with four congruent sides.

Holt Geometry 6-4 Properties of Special Parallelograms

Holt Geometry 6-4 Properties of Special Parallelograms Like a rectangle, a rhombus is a parallelogram. So you can apply the properties of parallelograms to rhombuses.

Holt Geometry 6-4 Properties of Special Parallelograms TVWX is a rhombus. Find TV. Find TXV

Holt Geometry 6-4 Properties of Special Parallelograms CDFG is a rhombus. Find CD. mGCH if mGCD = (b + 3)° and mCDF = (6b – 40)°

Holt Geometry 6-4 Properties of Special Parallelograms A square is a quadrilateral with four right angles and four congruent sides. In the exercises, you will show that a square is a parallelogram, a rectangle, and a rhombus. So a square has the properties of all three.

Holt Geometry 6-4 Properties of Special Parallelograms The vertices of square STVW are S(–5, –4), T(0, 2), V(6, –3), and W(1, –9). Show that the diagonals of square STVW are congruent perpendicular bisectors of each other.

Holt Geometry 6-4 Properties of Special Parallelograms A slab of concrete is poured with diagonal spacers. In rectangle CNRT, CN = 35 ft, and NT = 58 ft. Find each length. 1. TR2. CE

Holt Geometry 6-4 Properties of Special Parallelograms PQRS is a rhombus. Find each measure. 3. QP4. mQRP

Holt Geometry 6-4 Properties of Special Parallelograms 5. The vertices of square ABCD are A(1, 3), B(3, 2), C(4, 4), and D(2, 5). Show that its diagonals are congruent perpendicular bisectors of each other.

Holt Geometry 6-4 Properties of Special Parallelograms 6. Given: ABCD is a rhombus. Prove:

Holt Geometry 6-4 Properties of Special Parallelograms Home Work pg 412 2,6,10,14,18,20, 24-30evens, 40,52,54,56