chapter 6 quadrilaterals definition rhombus squares &rectangles parallelograms trapezoid 100 200...

53
Chapter 6 Quadrilaterals Definiti on Rhombus Squares &Rectangle s Parallelogr ams Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Final Jeopardy Challenge Reid And Gab

Upload: reginald-joseph

Post on 13-Jan-2016

216 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Chapter 6 Quadrilaterals

Definition Rhombus

Squares &Rectangle

s

Parallelograms

Trapezoid

100

200

300

400

500

100

200

300

400

500

100

200

300

400

500

100

200

300

400

500

100

200

300

400

500

Final Jeopardy Challenge

Reid And Gabie

Page 2: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Definition

What is a Rectangle?

100

Page 3: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Definition

a figure with four straight sides and four right angles, with opposite sides congruent

100

Page 4: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Definition

What is a rhombus?

200

Page 5: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Definition

a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four

equal sides

200

Page 6: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Definition

What is a square?

300

Page 7: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Definition

a figure with four equal straight sides and four right angles

300

Page 8: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Definition

What is a trapezoid?

400

Page 9: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Definition

a quadrilateral with only one pair of parallel sides

400

Page 10: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Definition

.

500

What is a parallelogram?

Page 11: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Definition 500 a four-sided plane rectilinear figure

with opposite sides parallel

Page 12: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Rhombus

Find the measure of angle A

100

Page 13: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Rhombus

60 Degrees

100

Page 14: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Rhombus

Find the measure X

200

Page 15: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Rhombus

85 Degrees

200

Page 16: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Rhombus

True or False

All side of a rhombus are congruent

300

Page 17: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Rhombus

True

300

Page 18: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Rhombus

True or false

Opp. Angles in a rhombus aren't congruent

400

Page 19: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Rhombus

False

400

Page 20: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Rhombus

Find angle A, angle B, angle C, and sides D,E,F

500

Page 21: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Rhombus

D: 5 E: 5 F: 5 A: 80 Degrees

C: 100 Degrees B: 100 Degrees

500

Page 22: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Squares &Rectangles

True or False

All squares and rectangles have right angles

100

Page 23: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Squares &Rectangles

True

100

Page 24: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Squares &Rectangles What is the length of A

200

Page 25: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Squares &Rectangles 9.5 cm

200

Page 26: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Squares &Rectangles True or false

Opp. Sides in a rectangle aren’t congruent

300

Page 27: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Squares &Rectangles

False

300

Page 28: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Squares &Rectangles Find the length of A and B and

the measure of angle X

400

Page 29: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Squares &Rectangles

A: 12 B: 25 X: 90 Degrees

400

Page 30: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Squares &Rectangles Find the length of the diagonal

Round to the nearest whole number

500

Page 31: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Squares &Rectangles 17

500

Page 32: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Parallelograms

Which theorem says opp. angles in a parallelogram are

congruent

100

Page 33: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Parallelograms

T 6.4

100

Page 34: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Parallelograms

Which theorem states that If a parallelogram has one right

angle, it has four right angles

200

Page 35: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Parallelograms

T 6.6

200

Page 36: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Parallelograms

Which theorem states opp. Angles in sides in a

parallelogram are congruent

300

Page 37: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Parallelograms

6.3

300

Page 38: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Parallelograms

Which theorem states consecutive angles in a

parallelogram are supplementary

400

Page 39: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Parallelograms

T 6.5

400

Page 40: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Parallelograms

Which theorem states that diagonals must bisect in a

parallelogram?

500

Page 41: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Parallelograms

T. 6.7

500

Page 42: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Trapezoid

What is the median in this picture

100

Page 43: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Trapezoid

XY

100

Page 44: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Trapezoid What formula is used to find the median of this trapezoid

200

Page 45: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Trapezoid

XY=1/2(AB+ DC)

200

Page 46: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Trapezoid

Find the Value of XY

300

Page 47: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Trapezoid

XY= 15

300

Page 48: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Trapezoid

Find the value angle of J and K

400

Page 49: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Trapezoid

K= 61 Degrees J= 119 Degrees

400

Page 50: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Trapezoid Find the angle A, B, C and

length of XY

500

AB= 15

DC= 50

Angle D= 25 degrees

A B

C

Page 51: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Trapezoid

XY= 32.5 Angle C= 25 degrees Angles A and B= 155

degrees

500

Page 52: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Final JeopardyMake a two-column proof of

theorem 6.4

Given: Parallelogram ABCD

Prove: angle A congruent to angle C, angle D congruent to angle B

Page 53: Chapter 6 Quadrilaterals Definition Rhombus Squares &Rectangles Parallelograms Trapezoid 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100

Final JeopardyANSWER

1. Parallelogram 1. Given2. AB ll DC, AD ll BC 2. Definition of

parallelogram3. Angle A and D are supplementary, Angle D and C are

supplementary, Angle C and B are supplementary 3. If parallel lines are cut by a transversal, consecutive interior angles are supplementary

4. Angle A is congruent to c, Angle D is congruent to angle B 4. Supplements of the same angles are congruent