Sums of Angles
What is the sum of all exterior angles of any polygon?
360 degrees
What is the generic name for a 4 sided shape?
Quadrilateral
parallel
Rhombus is a _________ with 4 congruent sides
parallelogram
Rectangles have all the properties of parallelograms, plus _____________, and ____________
all angles are congruent
diagonals are congruent
What is the formula for finding the sum of the interior angles of any polygon?
(N -2) x 180 = the sum
10
Both pairs of opposite sides are
congruent
Opposite sides are _____ and ________ (two things)
congruent
parallel
perpendicular
What does N stand for in the equation to find the sum of the interior angles of any polygon?
N= number of sides
If a shape is isosceles, what do you know about its sides?
Opposite angles are
congruent
Opposite angles are
congruent
A square has ______ the properties of a parallelogram, rectangle, and rhombus
all!
In a pair of angles, exterior angles are always ________ to their adjacent interior angle, meaning they equal to _____________.
180 degrees
Tell me a way to confirm that two triangles are similar
Angle angle
Side angle side
Angle side angle
consecutive angles are _______, which means _______ (two things)
supplementary
equal 180 degrees
Consecutive angles are _________, which means _______
supplementary, which means they equal 180
A square has a diagonal that is 17 from the angle to the midpoint. How long is it from angle to angle?
34
What is the measure of each exterior angle of a regular hexagon?
360/6= 60 degrees
If two triangles have a scale factor of 3:4, and one side on the smaller triangle is 6, what is the similar side on the larger triangle?
8
diagonals: (two things)
bisect each other
form two congruent triangles
Diagonals _____ each other, which means __________
bisect, which means they make 90 degree angles
A square has one side that equals 9x-77 and another side that equals 3x+7. What is x?
14