The Distance Formula
Segments
Angles
Mdpt. Formula
Angle Pair Relationships
100
d=√(x2-x1)2+(y2-y1)2
What is the distance formula?
100
They are rules that are accepted without proof.
What is a postulate?
100
Obtuse angle.
What is an angle larger than 90° but smaller than 180°?
100
x1+x2/2 + y1+y2/2
What is the midpoint formula?
100
Two ∠'s made up of the same two lines.
What are vertical angles?
200
If d=√(2+1)2+(2+3)2
√34
200
Find the distance between the two points, G(3,0), H(8,10).
5√5
200
If m∠ABD=45° and m∠DBC=60° then what is m∠ABC?
105°
200
Find the midpoint of these two points (3,2) (1,-4).
(2,-1)
200
Two ∠'s that add up to 90°.
What are complementary angles?
300
Find the distance between these two points (7,4) (8,16).
5
300
Find the distance between the two points, V(-2,-6), W(1,-2).
5
300
Add the parts to get the whole.
What is the angle addition postulate?
300
Find the other endpoint with the given endpoint (2,1) and midpoint (4,2).
(2,-1)
300
Two ∠'s that add up to 180°.
What are supplementary angles?
400
a2+b2=c2
What is pythagorean theorem?
400
Suppose M is between L and N. Use the Segment Addition Postulate to solve for the variable. Then find the lengths of LM, MN, and LN.
LM=3x+8
MN=2x-5
LN=24
x=4
LM=20
MN=3
LN=23
400
Two angles that share a common side and vertex, but have no common interior points.
What are adjacent angles?
400
Find the midpoint between (-10/11,9/13) (6/11,-11/13).
(-2/11,-1/13)
400
If ∠A=12x+1 and ∠B=x+10 are supplementary. Find m∠A and m∠B.
m∠A=157°
m∠B=23°
500
Find the measure of leg B of the triangle ABC, if leg A is 8cm and the hypotenuse is 10cm.
b=6
500
Use the Distance Formula to decide whether PQ≅QR.
P(-1,-6)
Q(-8,5)
R(3,-2)
PQ≅QR
PQ=√170
QR=√170
500
If m∠ABD=38° and m∠DBC=49° then what type of angle is ∠ABC?
Acute angle
500
Find the other endpoint with the given endpoint (¾,-½) and midpoint (5/8,-9/10).
(7/8,-13/10)
500
If ∠CEA (y+20)° and ∠CEB (4y-15)° are a linear pair, then find m∠y.
m∠y=35°