Chapter 6 Quadrilaterals

1
Chapter 6 Quadrilaterals
Squares Rectangles
Definition
Rhombus
Trapezoid
Parallelograms
Final Jeopardy Challenge
100
100
100
100
100
200
200
200
200
200
300
300
300
300
300
400
400
400
400
400
500
500
500
500
500
Reid And Gabie
2
Definition
100

• What is a Rectangle?

3
Definition
100

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

4
Definition
200

• What is a rhombus?

5
Definition
200

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

6
Definition
300

• What is a square?

7
Definition
300

• a figure with four equal straight sides and four
  right angles

8
Definition
400

• What is a trapezoid?

9
Definition
400

• a quadrilateral with only one pair of parallel
  sides

10
Definition
500

• .

What is a parallelogram?
11
Definition
500

• a four-sided plane rectilinear figure with
  opposite sides parallel

12
Rhombus
100

• Find the measure of angle A

A
B
60
13
Rhombus
100

• 60 Degrees

14
Rhombus
200

• Find the measure X

x
y
95
15
Rhombus
200

• 85 Degrees

16
Rhombus
300

• True or False
• All side of a rhombus are congruent

17
Rhombus
300

• True

18
Rhombus
400

• True or false
• Opp. Angles in a rhombus aren't congruent

19
Rhombus
400

• False

20
Rhombus
500

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

B
D
E
A
80
C
F
5
21
Rhombus
500

• D 5 E 5 F 5 A 80 Degrees
• C 100 Degrees B 100 Degrees

22
Squares Rectangles
100

• True or False
• All squares and rectangles have right angles

23
Squares Rectangles
100

• True

24
Squares Rectangles
200

• What is the length of A

A
9.5 cm
25
Squares Rectangles
200

• 9.5 cm

26
Squares Rectangles
300

• True or false
• Opp. Sides in a rectangle arent congruent

27
Squares Rectangles
300

• False

28
Squares Rectangles
400

• Find the length of A and B and the measure of
  angle X

B
A
12
X
25
29
Squares Rectangles
400

• A 12 B 25 X 90 Degrees

30
Squares Rectangles
500

• Find the length of the diagonal
• Round to the nearest whole number

12
31
Squares Rectangles
500

• 17

32
Parallelograms
100

• Which theorem says opp. angles in a parallelogram
  are congruent

33
Parallelograms
100

• T 6.4

34
Parallelograms
200

• Which theorem states that If a parallelogram has
  one right angle, it has four right angles

35
Parallelograms
200

• T 6.6

36
Parallelograms
300

• Which theorem states opp. Angles in sides in a
  parallelogram are congruent

37
Parallelograms
300

• 6.3

38
Parallelograms
400

• Which theorem states consecutive angles in a
  parallelogram are supplementary

39
Parallelograms
400

• T 6.5

40
Parallelograms
500

• Which theorem states that diagonals must bisect
  in a parallelogram?

41
Parallelograms
500

• T. 6.7

42
Trapezoid
100

• What is the median in this picture

43
Trapezoid
100

• XY

44
Trapezoid
200

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

45
Trapezoid
200

• XY1/2(AB DC)

46
Trapezoid
300

• Find the Value of XY

AB5
DC25
47
Trapezoid
300

• XY 15

48
Trapezoid
400

• Find the value angle of J and K

Angle A 119 Degrees
J
119
K
49
Trapezoid
400

• K 61 Degrees J 119 Degrees

50
Trapezoid
500

• Find the angle A, B, C and length of XY

AB 15
A
B
Angle D 25 degrees
C
DC 50
51
Trapezoid
500

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

52
Final Jeopardy

• Make a two-column proof of theorem 6.4

Given Parallelogram ABCD Prove angle A
congruent to angle C, angle D congruent to angle B
53
Final Jeopardy

• ANSWER

1. Parallelogram 1. Given
2. AB ll DC, AD ll BC 2. Definition of
   parallelogram
3. 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