Name all the properties of a kite.
perpendicular diagonal
1 pair of opposite angles equal
Consecutive/Adjacent sides are congruent
Determine if the following angle is central or inscribed.
a. <AOC
b. <ABC
a. central angle
b. inscribed angle
State whether the triangles are congruent. Explain your answer using precise language.
3) SSS because there are 3 congruent pairs of sides. The shared side is congruent by reflexive property.
4) ASA because there are two congruent angles with a congruent pair of included sides.
What is the value of x?
x = 121
Suppose EF bisects <DEG and <FED = 27. Find <GED.
54
Which of the following properties is not a property of parallelograms? Select all that apply.
a. opposite sides are congruent
b. diagonals are perpendicular
c. diagonals bisect each other.
d. all sides are congruent.
b and d.
Name the central angle. Name the inscribed angle.
Central angle = <AOB
Inscribed angle = <ACB
x = 65
What is the measure of a 200 degree angle that is bisected 3 times?
25
Name all the shapes with congruent diagonals.
Isosceles Trapezoid
Square
Rhombus
Find the value of <BCA.
a. 180
b. 90
c. 120
d. 45
b. 90
<A
XA
YA
<X
What is the value of the missing angle?
x = 37
In the figure below, BD bisects <ABC. BE bisects <DBC. The Measure of <EBD is 33 degrees. What is the measure of <ABC?
a. 33 c. 123
b. 66 d. 132
d. 132
For a rhombus, which of the following are not properties?
a. perpendicular diagonals
b. diagonals bisect each other
c. diagonals are congruent
d. opposite sides are congruent.
e. opposite sides are parallel.
f. only 1 pair of sides is congruent
c. diagonals are congruent
f. only 1 pair of sides is congruent
Name all the inscribed angles.
Name all the central angles.
Inscribed: <XRU; <VST
Central: <XWU; <XWR; <XWV; <UWV; <UWR
Triangle ABC has vertices at A(1,2), B(4,6) and C(4,2). The triangle will be reflected over the x-axis and then rotated 180 about the origin to form A'B'C'. What are the vertices of A'B'C'?
A'(-1,2)
B'(-4,6)
C'(-4,2)
Name a value for 'a' that would make this a triangle.
Any value that makes this inequality true
140
What shape is both a rhombus and a rectangle?
square
Find the value of <DAB.
m<DAB = 90
The lengths of two sides of a triangle are 5 inches and 8 inches. Which of the following lengths could be the length of the third side of the triangle? Select all that apply.
a. 4
b. 5
c. 7
d. 13
a. 4
b. 5
c. 7