For numbers 16 and 17, sketch triangle A(1,3) B(2,3) C(2,5) on the coordinate planes, and then perform the indicated composition. 17. Reflection: in the Translation: (x, y)- 16. Translation: (x, y)→(x+1, y– 2) Reflection: in the y axis 2, y)

3Q: If z₁ = 1.5 cisand z₂ = 4 cis(-7) find and express it in the rectangular form.

1. For each point given below, plot the point and its image after a reflection in the named axis. State the coordinates of the image point. 10 (a) x-axis: A(3,6)→ 5- (b) х-ахxis: B(0, 8)-> (c) y-axis: C(-2, 7) → 10 10 (d) y-axis: D(8, -4) → (c) y-axis: E(-3,0)→ 10+ (f) r-axis: F(5,0)→ Watch out! A bit tricky! 5 Which of the following would be the coordinates of the image of (7,-2) after a reflection across the y-axis? (1) (-2, 7) (3) (7.2) (2) (7.-2) (4) ( 7.2)

52.The parallelogram A B C D is placed such that: A (5, 2), B- ( 9.5, 8), C = (Xc, Yc), D (xd yd). The distance between all projectors 0. The vertical trace of the side A D (0, 14). The horizontal trace of the side C. D (-7, 0). %3D %3D %3D %3D Required : (a) Draw (scale 1:1) the true shape of the parallelogram and determine its exact area. (b) Find the missed coordinates xc ,yd, Xd & yd

Find the reflection of the point (1, 2, 3) in the point 2x+y=10

If you wanted to reflect a line segment with one endpoint at (x,y) about the x-axis, which of the following describes how you might go about finding the coordinates for the new point after the reflection? A (x, -y) B (-x,y) (y,x) D (-у, —х)

If A ABC is reflected across the line y=r+1, what are the coordinates of Point A post-reflection? Input your answer as a coordinate pair with no spaces. For example, (2, 4).

3. If å = 4i + 2j+ 4k ,b = -2i + 4j – 3k and č = 4i + 5j. If å + xb is perpendicular to č then find x.

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B.2. Express to its standard form, determine the center, radius and graph. 11. х2 + у? — 6х+ 16у + 24 %3D 0 12. Зx? + 3у? — 42у- 153 %30 EA Im