Transcript Chap 8 Review_Jeopardy Game
This is Geopardy
Chapter 8 Review
Quadrilaterals Properties of Parallelograms Quads or //-grams Special Parallelograms Trapezoids and Kites Potpourri
Define what a rhombus is.
Describe the figure using as many of these words as possible: rectangle, trapezoid, square, kite, quadrilateral, parallelogram, rhombus.
Isosceles trapezoid ABCD has
legs AB and CD and base BC. If AB = 3y – 9, BC = 8y -2 and CD = 7y – 10, find the value of y
One side of a kite is 5 cm less than 5 times the length of another. If the perimeter is 62 cm, find the length of each side of the kite.
Find the values of the variables. Then find the lengths of the sides of the rectangle.
3x -7 2y 5y - 21 5x - 9
If a quadrilateral is a parallelogram, then its consecutive angles are ____________.
Find the value of the variables in the parallelogram.
20 112
z x y
In the figure, the horizontal lines are parallel and AB = BC = AC. Find HF.
M L
7
K J D C B A F E H G
Solve to find the values of x and y in parallelogram PQRS. Then find PT.
P Q
2
x
1
S T y x
1 4 3
y
11
R
DEFG is a parallelogram. Find the values of x and y.
DH
4 ,
HF
3
x
1 ,
GH
2 3
x
2
D E G H F
Complete the statement for parallelogram ABCD. Then state why that is true.
AO
?
D C O A B
Find values of x and y for which ABCD must be a parallelogram.
A B
3
y
3
D x
2
x
11 5
y
6
C
Find the values of x and y for which LMNO must be a parallelogram.
O N L M
ON = 9x – 5 LM = 8x + 7 NM = x – 7 OL = 4y - 6
Henry is building a fence for his yard. He is considering two designs, which are shown below. Explain why the quadrilaterals formed by the horizontal rails and the boards are parallelograms in both designs.
Design 1: Design 2:
Which of these descriptions would not guarantee that the figure was a square?
[A] a quadrilateral with all right angles and all sides congruent [B] a parallelogram with perpendicular diagonals [C] both a rectangle and a rhombus [D] a quadrilateral with all sides and all angles congruent
DEFG is a rectangle. Find the value of x and the length of each diagonal.
Hint: Draw a picture.
DF
2
x
1 and
EG
3
Explain how you can determine, without measuring any angles, whether a quadrilateral is a rectangle.
Given the picture below what is the most precise name of the quadrilateral.
3 2 1
Choose the most precise for the parallelogram and find the measures of the numbered angles.
2 1 99° 3 4
Write a two-column proof: Given: ABCD is a rhombus.
Prove:
ACB
CAD A B D C
Angles M and J are base angles of isosceles trapezoid JKLM. Find the value of x given the following information.
21
x
4, 12
x
8, 14
x
10,
m T
120 60.
S R T U
Which of these descriptions would not guarantee that the figure was an isosceles trapezoid?
[A] a trapezoid with congruent bases [B] a trapezoid with both pairs of base angles congruent [C] a trapezoid with congruent legs [D] a trapezoid with congruent diagonals
One side of a kite is 4 cm less than four times the length of another. If the perimeter is 66 cm, find the length of each side of the kite. Round your answer to the nearest tenth.
The base angles of a trapezoid are __________.
A B C D
A(n) _____ is a parallelogram with four right angles and opposite sides congruent.
A(n) ____ is a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent.
A(n) _____ is a parallelogram with four congruent sides and 4 right angles.
A(n) _____ is a quadrilateral with exactly one pair of parallel sides.
Angles of a parallelogram that share a common side are _____.