Question

show your answers on notebook paper.
show your work.
lesson 5 - 1

1. calculate the distance between the points

a(-4, 2) and b(15, 6).

1. calculate the distance between the points

r(1.5, 7) and s(-2.3, -8).

1. describe how to find the distance between two

points on the coordinate plane.

1. to the nearest unit, what is fg?

1. (overline{jk}) has endpoints (j(-3, -1)) and (k(0, 3)). (overline{rs}) has

endpoints (r(1, 1)) and (s(4, 4)). is (overline{jk}congoverline{rs})?
explain how you know.

1. the vertices of (\triangle lmn) are (l(7, 4)), (m(7, 16)), and

(n(42, 4)).
a. find the length of each side of the triangle.
b. what is the perimeter of the triangle?
c. what is the area of the triangle? explain how
you determined your answer.

1. the distance from the origin to point (p) is 5 units.

give the coordinates of four possible locations for
point (p).

Explanation:

Step1: Identify coordinates of F and G

From the graph, \(F(-3,-4)\) and \(G(2,2)\)

Step2: Use the distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)

Here \(x_1=-3,y_1 = -4,x_2=2,y_2=2\)

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Rounding \(\sqrt{61}\approx7.81\) to the nearest unit gives \(8\)

Answer:

C. 8 units