Question

b. the table shows the ordered pairs of the points that give the approximate locations of more stars in the ursa major constellation. plot and label the points.

point	h	i	j	k	l	m	n

c. the seven brightest stars of the ursa major constellation make up what is known as the big dipper. connect the points in the given order to show the big dipper: d, c, l, k, h, j, g, k.

Explanation:

Step1: Understand coordinate plotting rules

Each ordered pair $(x,y)$ means: move $x$ units horizontally (right if positive, left if negative) from the origin $(0,0)$, then move $y$ units vertically (up if positive, down if negative).

Step2: Plot each given point

• $H(6,3)$: Right 6, Up 3
• $I(4,0)$: Right 4, No vertical move
• $J(0,1)$: No horizontal move, Up 1
• $K(-2.5,2)$: Left 2.5, Up 2
• $L(-4,2.5)$: Left 4, Up 2.5
• $M(6,-1.5)$: Right 6, Down 1.5
• $N(-3.5,-0.5)$: Left 3.5, Down 0.5

Step3: Label each plotted point

Write the corresponding letter ($H, I, J, K, L, M, N$) next to each plotted coordinate.

Step4: Connect points for Big Dipper

Using the given order $D, C, E, K, H, J, G, K$, draw line segments connecting each consecutive point, ending back at $K$. (Note: Points $D, C, E, G$ would be pre-plotted points not listed in this table, so connect the provided $K, H, J$ to their respective pre-plotted points as instructed.)

Answer:

1. Plotted and labeled points: $H(6,3)$, $I(4,0)$, $J(0,1)$, $K(-2.5,2)$, $L(-4,2.5)$, $M(6,-1.5)$, $N(-3.5,-0.5)$ on a coordinate plane.
2. Connected points in the order $D \to C \to E \to K \to H \to J \to G \to K$ to form the Big Dipper shape.