Distance/Midpoint
Angle Relationships
Parallel Lines and Transversals
100

Midpoint Formula:

Distance Formula:

M=((x1+x2)/2,(y1+y2)/2)

d=sqrt (x2-x1)2+(y2-y1)2


100

What do we call opposite angles formed by two intersecting lines?

vertical angles

100

#10 a

corresponding angles

200

Find the midpoint of AB: A(3,4) and B(-1,10)

M (1,7)

200

what are two adjacent angles that sum to 180 degrees?

linear pair

200

#11 h

104 degrees

300

Find the distance of AB: A(3,4) and B(-1,10)

AB = 7.21

300

The measures of two vertical angles are (6x+29) and (8x-5), solve for x.

x=17

300

#12

x=8

400

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

400

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

400

#13

x=14

500

If D is the midpoint of CE , CD = 9x – 7, and

DE = 3x + 17, find CE.

x= 4

CE= 58

500

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

500

#14

x=11

y=5