The coordinates of ▭WISH are given. Plot and connect the following set of points in the CARTERSIAN PLANE. Decide whether WISH is a rectangle, rhombus or a square.

Question

(a) W (-4, 0); I (3, 7); S(6, 4); H(-1, -3)

(b) W (1, 1); I (-2, 4); S(-5, 1); H(-2, -2)

Answer 1

a) rectangle

b) square & rectangle, as all squares are rectangles, but if you had to choose one, go with square

all angles are 90 degrees which eliminates rhombus

for b) all side lengths equal, for a) all side lengths not equal

find the slopes to determine the angles, find the lengths using Pathagorean Theorem, or distance formula

for WI, IS, SH and WH

helps to plot the points, and sketch the quadrilaterals. from looking at the sketch, if to scale enough, you can tell what they are

or you could do this all with just calculating slopes and lengths of the 4 angles and lengths