Points, Lines, & Planes
Find the midpoint between (3,4) & (-1,10).
(1,7)
In order for alternate interior angles to be congruent, what needs to be given?
Parallel Lines
Two angles in a triangle are 27 and 88 degrees. What is the measure of the third angle?
65
List the 3 ways to prove triangles similar.
AA~, SAS~, and SSS~
The Incenter is made by the intersection of the ___ in a triangle.
Angle bisectors.
Find the distance between (3,4) & (-1,10)
7.2
a) If angle 3 = 107, then angle 16 = ?
b) If angle 15 = 84, then angle 6 = ?
a) 107
b) 96
Two remote interior angles are 8x + 2 and 10x -19 with an exterior angle of 16x - 7. Solve for x.
x = 5
Figure #3
Solve for x.
x = 24.5
B is the centroid of AC. If AB = 12, what is the length of AC?
18
Y(3,-1) is the midpoint of XZ. Z is at (11,-5), what are the coordinates of X?
(-5,3)
Angle 1 = 13x - 27 and angle 8 = 10x + 6. Solve for x.
x = 11
Given: M is the midpoint of AZ and BD bisects angle ABC.
Write two steps of a proof with this given.
AM = MZ def of mdpt
<ABD = CBD def of angle bisector
Figure #4
Solve for angles 1 through 5.
1 & 2 = 53
3 = 68
4 = 59
5 = 121
The midsegment of a triangle is 3x + 11 and the opposite side is 9x - 14. Solve for x.
x = 12
P partitions segment AB into a ratio of 5:3. If A(-1,-5) and B(-7,11), what are the coordinates of P?
(-4.75,5)
Write the equation of a line perpendicular to
y = -3/4x -2 and passes through the point (3,1).
y = 4/3x - 3
Figure # 2
Prove triangle ABD = triangle CDB
.
Figure #5
Find the perimeter of triangle ABC.
56
Why is the circumcenter equidistant to the angles of a triangle?
It's the center of a circumscibed circle, radius to angles.