b A rectangle has two pair of parallel sides and four right angles.
C
c Use the slope of the shorter side to find the coordinates of the fourth point.
D
d A rectangle has two pair of parallel sides and four right angles.
A
a (9,3)
B
b (3,-3)
C
c (-2,-7)
D
d (-52,1483)
Practice makes perfect
a We are given the points (-1,3), (-1,2) and (9,2). Let's plot these in a coordinate plane.
A rectangle is a quadrilateral with two pairs of parallel sides and four right angles. Since (-1,3) and (-1,2) have the same x-coordinate and (-1,2) and (9,2) have the same y-coordinate, we know that one side must be horizontal and the other must be vertical to form a right angle.
The final point must be placed at (9,3). This creates a quadrilateral with two pairs of parallel sides and four right angles.
b Like in Part A, we will plot the given points in a coordinate plane and draw the first pair of adjacent sides.
Since one side is vertical and the other is horizontal, we can see that the final point must be placed at (3,- 3). This creates a quadrilateral with two pairs of parallel sides and four right angles.
c Like in Part A-B, we will plot the given points in a coordinate plane and draw the first pair of adjacent sides.
Since we are not working with horizontal and vertical sides, it's not as clear cut where the fourth point should go to create a rectangle. However, if we measure the slope of the shorter side, we can use that information to find the location of the fourth point.
The fourth point should be placed at (-2,-7). Let's complete the rectangle by drawing the fourth side.
d Like in previous parts, we will plot the given points in a coordinate plane and draw the first pair of adjacent sides.
Like in Part A-B we are working with a horizontal side and a vertical side. Therefore, we can directly determine the fourth point as (-52,1483).
