Plot and connect the points A(1,-5), B(-4,-3), C(3,-3), and find the area of the triangle it forms.
A.
16 square units
B.
12 square units
C.
7 square units
D.
5 square units
To find the area of the triangle formed by points A(1,-5), B(-4,-3), and C(3,-3), we can use the formula for the area of a triangle given its coordinates:
Area = 1/2 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|
Plugging in the coordinates of the points:
Area = 1/2 * |1(-3 - (-3)) + (-4)(-3 - (-5)) + 3(-5 - (-3))|
Area = 1/2 * |0 + (-4)(2) + 3(-2)|
Area = 1/2 * |0 - 8 - 6|
Area = 1/2 * |-14|
Area = 1/2 * 14
Area = 7 square units
Therefore, the correct answer is C. 7 square units.
Plot and connect the points A(-4,-4), B(-5,-4), C(-5,-3), D(-4,-3), and find the area of figure ABCD.
A.
2 square units
B.
1 square unit
C.
4 square units
D.
9 square units choose from the list
To find the area of the figure ABCD formed by points A(-4,-4), B(-5,-4), C(-5,-3), and D(-4,-3), we first need to plot the points on a coordinate plane.
Now, we can see that the figure ABCD is a rectangle, because the opposite sides are parallel and equal in length. The height of the rectangle is 1 unit and the base is 1 unit.
Therefore, the area of the rectangle ABCD is given by:
Area = height * base
Area = 1 * 1
Area = 1 square unit
Therefore, the correct answer is B. 1 square unit.
Mr. Forest drew a diagram of his office on a coordinate grid. He placed his chair at (4, 3), his podium at (4, -4), and his desk at (-6, -4).
The length of each square on the grid represented one yard.
What was the distance between the podium and the desk?
A.
7 yards
B.
10 yards
C.
9 yards
D.
11 yards
To find the distance between two points, we can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the coordinates of the podium (4, -4) and the desk (-6, -4):
Distance = √((-6 - 4)^2 + (-4 - (-4))^2)
Distance = √((-10)^2 + 0^2)
Distance = √(100 + 0)
Distance = √100
Distance = 10
Therefore, the distance between the podium and the desk is 10 yards, which corresponds to option B. 10 yards.