Polygons
What is the sum of the interior angles of a hexagon?
720
In parallelogram JKLM, LM = 17cm, which means that KJ = this.
What is 17cm?
ABCD is a Rhombus and E is the intersection of the diagonals. Then this is m<AEB.
What is 90˚
What do the sum of the exterior angles of any polygon equal?
36
Name 4 of the 5 ways to show a quadrilateral must be a parallelogram.
1) 2 pairs of // sides 2) both opposite sides ≅
3) both opposite <≅ 4) 1 pair of sides // & ≅
5) Diagonals bisect
This is one way you would know a parallelogram is a rectangle.
What is it has congruent diagonals or a 90˚ angle?
The bases of an isosceles trapezoid are QX and ZA, if m<Q=77˚, then this is m<X.
What is 77˚?
What parts of a kite are congruent? (Name 2)
Opposite Angles
Consecutive Sides
A bisected diagonal
The sum of interior angles measures of a convex 16-gon.
What is 2520˚?
Angle A of Parallelogram ABCD measures 45 degrees. What does angle B and angle C measure?
B=135
C=45
Name 3 properties of a rhombus
Perpendicular diagonals
Diagonals bisect opposite angles
Sides are congruent
In kite EFGH, J is the intersection of the diagonals. If m<JEF=59˚, then this is m<JFE.
What is 31˚?
These are 3 shapes that a square also must be.
What are parallelogram, rhombus, and rectangle. (Quadrilateral also would qualify)
This is the measure of each exterior angle in a regular decagon.
What is 36˚?
If WXYZ is a parallelogram and m<W=99˚, then this is m<X.
what is 81˚?
A square has two diagonals. What are the measures of the angles created by the diagonals?
45
What makes a trapezoid isosceles?
≅ legs or ≅ base <s or ≅ diagonals.
A dulcimer is a trapezoidal stringed instrument. The bases are 43 in and 23 in long. If a string is attached at the midpoint of each leg, this is how long the string would be.
What is 33in
A single interior angle of a regular polygon measures 135. How many sides does this polygon have?
8
A quadrilateral STUV has measurements of ST=6x-8 and UV= 4x. TU=3y-11 and VS=y+1. Find the measures of x and y to make this a parallelogram.
x=4
y=6
Find the lengths of the diagonals of rectangle WXYZ where WY=-2x+34 and XZ=3x-26
10
The bases of trapezoid HUGS measure 10 and 24. What is the measure of the midsegment?
17
What formula would you use to determine if segments are parallel or perpendicular?
Slope