Midpoint Formula:
Distance Formula:
M=((x1+x2)/2,(y1+y2)/2)
d=sqrt (x2-x1)2+(y2-y1)2
What do we call opposite angles formed by two intersecting lines?
vertical angles
#10 a
corresponding angles
Find the midpoint of AB: A(3,4) and B(-1,10)
M (1,7)
what are two adjacent angles that sum to 180 degrees?
linear pair
#11 h
104 degrees
Find the distance of AB: A(3,4) and B(-1,10)
AB = 7.21
The measures of two vertical angles are (6x+29) and (8x-5), solve for x.
x=17
#12
x=8
JK has endpoints J(-1, 10) and K(-5, 2). MN has endpoints M(9, -7) and N(1, -3). Is JK ≅ MN ?
yes; both 8.94
If ∠A and ∠B are complementary angles, m∠A = (2x + 11)°nand m∠B = (10x – 17) °, find m∠A.
x=8
m∠A= 27 degrees
#13
x=14
If D is the midpoint of CE , CD = 9x – 7, and
DE = 3x + 17, find CE.
x= 4
CE= 58
If ∠N and ∠P are supplementary angles, m∠N = (x + 3)° and m∠P = (7x – 15) °, find m∠P.
x= 24
m∠P = 153 degrees
#14
x=11
y=5