Rhombi and Kites
A diagonal of a rhombus that is on the coordinate plane can be modeled the equation x=-3. Which of the following could model the other diagonal? Select all that apply
A. x=-7
B. y=-5
C. y=x+3
D. x=3-y
E. y=6
B
E
Trapezoid has TRAP has the measures of the following m∠ A= 5x, m∠ T=(10x+30), m∠ R= 2m. Find the values x and m.
x=10
m=25
Mr. Thompson plots and connects the following points:A (-3,3), B(2,2), C (1,-3) and D(-4,-2)
A. Square
B. Trapezoid
C. Kite
D. Rhombus
B. Trapezoid
I have exactly two pairs of consecutive congruent sides.
One pair of opposite angles are congruent
Diagonals are perpendicular.
What am I?
I am a kite
ABCD is a rhombus. The measure of m ∠ B is 7x+10 and the measure of ∠ C is 2x-5.
Which statement explains why the equation 7x-10+2x-5=180
A. All sides in a rhombus are congruent
B. A square is a type of rhombus.
C. Opposite angles in a rhombus are congruent
D. Opposite sides in a rhombus are parallel.
D. Opposite sides in a rhombus are parallel
A diagonal of a rhombus that is on the coordinate plane can be modeled the equation y=7. Which of the following could model the other diagonal? Select all that apply
A. x=-6
B. y=-4
C. y=x+2
D. X=4
E. y=8
A and D
ABCD is a rhombus where m∠ DAC =3x-11 and m∠ DAB =4x+2. What is the m∠ ABC? What is the value of x?
m∠ ABC= 130
x= 12
Plot and connect the following points. A(-1,1) B(5,0), C(1,1) and D(-3,0)
A. Rectangle
B. Square
C. Trapezoid
D. Parallelogram
C. Trapezoid
Opposite sides are parallel.
Opposite sides are congruent.
Opposite angles are congruent.
Diagonals bisects each other.
Consecutive angles are supplementary
What am I.
I am a parallelogram.
ABCD is a parallelogram. m ∠ DCE is 63. m ∠ DAB is 115.
A.What is the m ∠ EDC?
B. What is the m ∠ CBE?
C. What is the m ∠ BEC?
A. m ∠ EDC=27
B. m ∠ CBE= 38
C. m ∠ BEC=90
Find the perimeter and area of a rhombus ABCD.
BC=8 AC=14 ft (diagonal)
Area =7.8 ft2
Perimeter=32
ABCD is a rhombus. The measure of ∠ B is (x+10) and the measure of ∠ D is 2x. Which statement can be used to solve for x?
A. All sides in a rhombus are congruent
B. Opposite angles in a rhombus are congruent
C. Opposites sides in a rhombus are congruent
C.
Malcolm plots and connects the following points D(-3,0), A(0,3), C(1,1) and Y (0,-3). Which quadrilateral has Malcolm formed.
A. Square
B. Rectangle
C. Trapezoid
D. Rhombus
A. Square
Non-parallel sides are congruent (legs).
Diagonals are congruent.
Base angles are congruent.
Opposite sides are supplementary.
What am I?
I am a isosceles trapezoid.
In a parallelogram ABCD, the measure of angle ABE=27 , measure of angle EBC=36, Find the measure of angle DAB.
m ∠ DAB=36
A square graphed on the coordinate plane has a diagonal with endpoints G(1,-1) and B(5,-5)
What are coordinates of the endpoints of the other diagonal?
(5,-1) (1,-5)
The perimeter of kite ABCD is 88. m∠ A=110, m∠ B=x ,m∠ C = y , side BC=15. Solve for x, y, z
x=104
y=110
z= 29
Kaycee plots and connects the following points B(-4,1), E(-2,2) C(1,1) K (-1, -3) . Which quadrilateral has Kaycee formed?
A. Kite
B. Rhombus
C. Trapezoid
D. Square
C. Trapezoid
Four congruent sides.
Diagonals are perpendicular.
Diagonals bisect opposite angles.
What am I?
I am a rhombus.
In ABCD is a paralleogram. m ∠ EDC=22 and m ∠ DAB=135.
A. What is the m ∠ DCE?
B. What is the m ∠ CBE?
C. What is the m ∠ BEC?
A. m ∠ DCE=68
B. m ∠ CBE=
C. m ∠ BEC= 90
ABCD is a rhombus where measure of ∠ DAC=8x-10 and m ∠ DAB =4x+40. What is the measure of ∠ ADC?
X=
m ∠ ADC=
X=5
m ∠ ADC= 120
The perimeter of kite ABCD is 100 units. m∠ A=117, m∠ B=x, m∠ C is y, m∠ D is 38. Solve for x, y, and z.
x= 88
y=117
z=39
Four congruent sides.
Diagonals are perpendicular.
Diagonals bisect opposite angles.
What am I?
I am rhombus.
Four right angles
Diagonals are congruent
What am I?
I am a rectangle.
Determine the values of the variables in the isosceles trapezoid HOPE. m ∠ E=9x, m ∠ H=11x+20, m ∠ O=9m
solve for x and m.
X= 8
m=12