Theorems
the sum of the lengths of any 2 sides of a triangle is greater than the length of the 3rd side
What is the Triangle Inequality Theorem?
pg. 191
Find the measure of angle IGH and GHI
IGH = 90 degrees
GHI = 45 degrees
What word means equal distance?
What is Equidistant?
pg. 203 #18
Angle ZXY=42 degrees
pg. 115 #15
A' (8, -1)
B' (2,1)
C' (9,-4)
the medians of a triangle are concurrent at a point that is 2/3 the distance from each vertex to the midpoint of the opposite side
What is the Concurrency of Medians?
pg. 140 #12
Q' (-5,5)
R' (-2,-1)
A process of reasoning using given and previously known facts to reach a logical conclusion.
What is deductive reasoning?
pg. 87 #33
102 degrees
pg. 107 #20
A' (-9,-3)
B' (6,-4)
C' (-1,5)
if the hypotenuse and the one leg of a right triangle are congruent to the hypotenuse and leg of another right triangle then the triangles are congruent
What is the Hypotenuse Leg Theorem?
pg. 97 #17
No
slope of w =1/3
slope of t = -5/2
Angles between parallel lines that are on the same side of a transversal are called?
What are same side interior angles?
pg. 211 #22
6.9
pg. 123 #19
D' (-5,0)
E' (-8,-2)
F' (5, -3)
if 3 sides of one triangle are congruent to 3 sides of another triangle, then the two triangles are congruent
What is SSS theorem? (side-side-side)
pg. 61 #20
Midpoint: (-1, 5/2)
Length: square root of 17
A line, segment, or ray that is perpendicular to the segment and divides the segment into 2 congruent segments.
What is a perpendicular bisector?
pg. 8 # 219
(1/2,4)
pg. 130 #13
A' (-6,-6)
B' (-3,6)
C' (7,7)
the measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles
What is the Triangle Exterior Angle theorem?
pg. 159 #21
GH=45
HJ=45
GJ=29
What is the point of concurrency for 3 altitudes?
What is the Orthocenter?
pg. 221 #23
D
pg. 140 # 14
T<-5,2>