Question

test prep

1. what is the distance between the points (-2.5, 6.5) and (2.5, 6.5)?

_____ units

1. what is the distance between the points (3, 4.1) and (3, 1.2)?

_____ units

1. which point is a reflection of (-3, 8) across the x-axis on a coordinate plane?

a (-8, 3)
b (-3, -8)
c (3, 8)
d (3, -8)

1. which point is a reflection of (-5.2, 9.5) across the y-axis on a coordinate plane?

a (-5.2, -9.5)
b (5.2, 9.5)
c (5.2, -9.5)
d (9.5, -5.2)
spiral review

1. a truck driver drives 245 miles and needs to drive m miles in all. write an equation for the number of miles d the driver has left to drive.
2. draw the polygon with vertices (3, -1), (3, 4), (-2, 4), and (-2, -1) on the coordinate plane. classify the polygon.

Explanation:

Step1: Calculate distance for Q6

Points share same y-coordinate. Subtract x-values:
$|2.5 - (-2.5)| = |5| = 5$

Step2: Calculate distance for Q7

Points share same x,y-coordinates except z. Subtract z-values:
$|1.2 - 4.1| = |-2.9| = 0.9$

Step3: Find x-axis reflection (Q8)

Flip y-sign: $(-3, 8) \to (-3, -8)$

Step4: Find y-axis reflection (Q9)

Flip x-sign: $(-5.2, 9.5) \to (5.2, 9.5)$

Step5: Write equation for Q10

Remaining miles = total - driven:
$d = m - 245$

Step6: Classify polygon for Q11

Plot vertices: opposite sides equal/parallel, all angles 90°. This is a rectangle.

Answer:

5 units
0.9 units
B. (-3, -8)
B. (5.2, 9.5)
$d = m - 245$
Polygon: Rectangle