What is the sum of the interior angles of a heptagon?
900 degrees
In a parallelogram, what do the diagonals have to be in order to be a rhombus?
Perpendicular
Can you conclude that the parallelogram is a rhombus, rectangle, or square? Explain.
Rhombus, diagonals bisect opposite angles.
What are the coordinates of the vertices of each figure?
S = (-a,a), Q = (a,a), R = (a,-a), E = (-a,-a)
Find the measure of an exterior angle of a regular octagon.
45 degrees
What is the measure of each interior angle of a hexagon?
120 degrees
In a parallelogram, what do the diagonals have to be to be a rectangle?
Congruent
For what value of x is ABCD a rhombus?
X = 5
What are the coordinates of each vertices of each figure?
T = (-a,0) I = (a,0), R = (0,b)
What is the measure of angle P if S = 64 degrees?
116 degrees
What is the measure of angle Y in pentagon TODAY?
70 degrees
In rectangle RSBF, SF = 2x+15 and RB = 5x-12. What is the length of a diagonal?
33
Angle C is 65 degrees. What are the measures of angle D, E, and F?
D = 115, E = 115, F = 65
Is the triangle scalene, isosceles, or equilateral?
Isosceles
Can you conclude that the parallelogram is a rhombus, rectangle, or square?
Square, Diagonals are congruent and perpendicular.
EH = 6.75
For what value of Y must PQRS be a parallelogram?
Y = 8
QR is the midsegment of trapezoid LMNP. What is x?
X = 3
Is parallelogram ABCD a rhombus? Explain.
No, since the products of the slopes are not -1, the slopes of the diagonals are not perpendicular.
DEFG is a kite. What are the measures of angles 1, 2, 3, and 4?
<1 = 90, <2 = 38, <3 = 52
Find the value of X and Y.
X = 16, Y = 14
Can you prove HIJK is a parallelogram? Explain.
No. Both pairs of opposite sides need to be congruent.
The fan consists of 20 congruent isosceles trapezoids that form a circle. What are the measures of the base angles of these trapezoids?
X = 81, Y = 99
What is the most precise classification of the quadrilateral formed by connecting the midpoints of the sides of the kite?
Rectangle.
Midpoints are (-2,2), (4,2), (4,-2), (-2,-2)
Find the coordinates of D.
D = (a+b,c)