The perimeter of a shape is...
the sum of all sides
What is the slope formula?
When 2 lines intersect, what 2 types of angles are formed?
1) Vertical angles (congruent)
2) Linear pairs (supplementary)
What is the sum of the interior angles of any quadrilateral?
360o
Name the 2 things you need in order to write the equation of a perpendicular bisector
1) opposite reciprocal slope
2) midpoint
To bisect means to...
divide a line, angle, shape, etc., into two equal parts
What is the midpoint formula?
Same Side Exterior and Same Side Interior angles are the only special angles that are...
Supplementary (alt ext, alt int, and corresponding angles are all congruent)
Name the 4 properties that are true for all parallelograms
1) Opposite sides are congruent
2) Opposite angles are congruent
3) Consecutive angles are supplementary
4) The diagonals bisect each other
Write the equation of the line that goes through the point (0,-2) and is parallel to the line below.
1/2y - 4 = x
y = 2x - 2
y + 2 = 2 (x - 0)
What is a rigid motion?
Partial Points for translations, reflections, rotations
What is the distance formual?
In the diagram, m<2 = 132o, find the m<7.
m<7 = 132o
Bonus: Same Side exterior angles are supplementary
What is true about the diagonals of rectangles and squares but not rhombi?
The diagonals of a rhombus are not congruent
What is the rule to use for R270?
(x,y) ----> (y,-x)
A shape with 9 sides is called
Minimum number of degrees of rotation
360/(# of sides)
Corresponding angles are...
angles that are in the same position on the parallel lines
Bonus: they are congruent when the lines are parallel
What quadrilateral(s) have perpendicular diagonals?
1) Squares
2) Rhombi
3) Kites
ABC is a triangle, m<A = 117o, and m<C = 33o. What is the measurement of <B?
m<B = 30o
Sum of all the angles of a triangle is 180o
What is a line that is not given but can be included in a diagram to make a familiar figure?
An auxiliary line
What is point-slope form?
x=32
<1 & <8 are alternate interior angles
ABCD is a trapezoid. If the m<D=3x+35, m<A=2x+95, and m<C=10x+25. Find the value of x and the m<C.
x=10
m<C=125o
True or False: in all quadrilaterals diagonals bisect each other
False; only parallelograms have diagonals that bisect each other, this is not true for isosceles trapezoids and kites