1a - four points in a straight line are L,K,N, and H
1b - Line P has point M in it
1c - H and K are both on line R
1d - Line JL since they are both points on the line
1e- they match up at N
For 2-5, just find the difference between the two letters. For example, L is -8 and N is 3. 3-(-8)=11. M is -3, and Q is 12. -3-12=-15, and we can absolute value that to get 15. Since 11 is not 15, they are not congruent.
6a - find the midpoint of (3x)+(5x-6)=8x-6. To find the midpoint, find the length and divide by 2, which is 4x-3. AY is 5x-6, as pointed out. XY is XA+AY = 8x-6.
7 - PT and TQ are given, so add them up to get PQ - 7x-2.
For 8-10, visualize it. AR is 5, but it's from 0-5. (0+5)/2=2.5. However, we need to know that we need to find the coordinates, so it can be (0, 2.5), (2.5,0) or anything 2.5 away from the origin (A). You can visualize it at desmos.com , where you can type in the formula for a circle, which is x^2+y^2=2.5 (since 2.5 is the radius) . AT is from 0 to 7 (0+7=7), so (0+7)/2=3.5. For RT, we know that R is 5 away from A, and T is 7 away from A. Look at desmos with 5 and 7 at the radius- find some examples, find the midpoints (The midpoint formula of two points is if 2 points are (x1, y1) and (x2, y2) then the midpoint is ((x1+x2)/2, (y1+y2)/2). and you should be good!
