5. Triangle JKL with vertices J(1, -1), K(2, 3), and L(3,...

5. Triangle JKL with vertices J(1, -1), K(2, 3), and L(3, -2) in the line x = 4. 6. Square RSTU with vertices R(0, 3), S(5, 4), T(6, -1), and U(1, -2) in the line x = -1. 7. Parallelogram CDEF with vertices C(-4, -4), D(-2, 0), E(6, 1), and F(4, -3) in the line y = 2. 8. Triangle MNP with vertices M(-6, -8), N(-1, -6), and P(-2, -8) in the line y = -5. 9. Triangle XYZ with vertices X(-5, -2), Y(-3, 4), and Z(-1, 1) in the line y = x. 10. Rectangle GHLJ with vertices G(2, -1), H(7, -1), I(7, -4), and J(2, -4) in the line y = x. 11. Square ABCD with vertices A(-1, 3), B(0, 6), C(3, 5), and D(2, 2) in the line y = -x. 12. Triangle STU with vertices S(-1, -6), T(0, -3), and U(3, -4) in the line y = -x.

Transcript

00:01 I'll just quickly give you the rules here since you're submitted many, many questions and give you some of what the output should be and leave the graphing to you.

00:06 But first, if you're going to reflect over the line, x equals 4, that's a vertical line through x equals 4 on the axis.

00:13 So it's going to move the points, the same distance on the other side of the line.

00:20 So for instance, the x coordinate of j is 1.

00:23 That's 3 units from 4.

00:24 So we'll go from, it's 2 units the other side of 7.

00:27 K will go from 2 units.

00:29 It's 2 units from 4.

00:31 So both two units on the other side, which would be six, and three negative two, three is one unit away from four, so it'll flip to the other side, which is five.

00:44 One unit on the other side of four.

00:48 Same deal with number six for x equals negative one.

00:51 Think about how far they are and on what side of x equals negative one.

00:56 So the point zero of three is one unit to the right of it.

01:00 So it'll be one unit to the left or at negative two.

01:03 Five is six units to the right of negative one.

01:06 So it'll be six units to the left, which is going to be negative seven.

01:10 Six is seven units to the right, seven units to the left, then seven units to the left would be negative eight.

01:27 And one is two units to the right, two units to left would then be negative three.

01:40 The line y equals two.

01:43 There's a horizontal line through two.

01:46 So it's your y coordinates that you're paying attention to here.

01:49 So for c, negative 4 is 6 units below it.

01:53 It will be 6 units above it, which would put you at a y coordinate of 8...

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