Factor: 3x2 - 4x -4
( 3x +2) (x-2)
What is a midpoint?
a point that divides one segment into 2 congruent segments
True or False: Vertical angles proves 2 lines cut by a transversal are parallel.
False, vertical angles are always true.
Define Angle Bisector
a line, ray or segment that splits an angle into two congruent angles.
True or False: Complementary angles are angles that sum to 180 degrees.
False, they sum to 90 degrees.
What is slope intercept form?
y= mx+b
All sides are congruent and all angles are 60 degrees.
What is the name of adjacent angles that sum to 180?
Linear pairs
Define Triangle Sum Theorem.
The sum of all angles in a triangle is 180 degrees.
State the Partition Formula.
x1 + a/a+b(x2 -x1) , Y1 + a/a+b (y2- y1)
If the slope of line a is 2 and line b is perpendicular to line a, what is the slope of line b?
m= -1/2
What is the exterior angle theorem?
The 2 remote angles add to the exterior angle.
How do we use auxiliary lines?
Auxiliary lines create triangles and special angle relationships by completing the transversals.
Define Isosceles Triangle.
A triangle with 2 congruent sides and 2 congruent angles.
What is Ms. Alexander's Favorite color?
Purple
Line T passes through (1,3) and (-4,2). Write the equation is point- slope form and slope intercept form.
y-3 = 1 (x-1) or y+2= 1 (x+4)
y= x+2
Define Angle.
The space formed between 2 rays that share a common endpoint (vertex) measured in degrees.
Explain the name "Alternate Interior angles"
Define Perpendicular Bisector.
Lines that intersect a segment at its midpoint and has opposite reciprocal slope
In triangle ABC angle a=12x , angle b= x2 + 36, angle c= -3x +54. Classify the triangle using the best name.
Isosceles Triangle/ acute triangle
Factor: 2x2 -10x -48 =0
(x-8) (x+3)
How many degrees is a full angle?
360 degrees.
Ms. Alexander's Birthday
March 23rd :)
Define Colinear points
points that lie on the same line
Point p partitions AB into a ratio such that AP:PB is 2:1. The coordinates of A are (4, -8) and B (-5, 1). Determine and state the coordinates of P.
P (-2, -2)