WGU C972 task 2 |Passed on First Attempt |Latest
Update with Complete Solution
Curtis Allen
C297 task 2
A.
1. The easiest method to locate the coordinates for M is by using the Midpoint
formula for both K and N.
Midpoint formula = (x1+ x 2 )/2, (y1 + y2)/2.
To begin, it’s necessary to substitute the values of K and N into this established
midpoint formula.
X coord = (1 + 2)/2 = 3/2 or 1.5
Y coord = (1 + 1)/2 = 2/2 or 1
With the coordinates calculated, it is established that M exists on an x-y coordinate
plane at
(1.5, 1).
2. Demonstrate an Isosceles Right Triangle.
a. An Isosceles Right Triangle (with two equal sides and two equal angles) can be
proven with use of the distance formula: √ (x1−x 2)² + (y1 - y2)²
#SKP sides are found by:
The side KP is found by: √((1.5 – 1) ²+ (0.5 – 1) ²) = √(0.5) = 0.707.
The side SP is found by: √((1.5 – 1) ²+ (0.5 – 1) ²) = √(0.5) = 0.707.
The side SK is found by: √((1 – 1) ²+ (0 – 1) ²) = √(0 = 1) = 1.
This shows that the lengths of KP and SP are the same, and that the figure is that
of an Isosceles Triangle.
b. Prove that the Isosceles Triangle is a Right Triangle.
The method in proving that the Isosceles Triangle is also a Right Triangle involves
the use of the Slope Formula: m = (y1 - y2)/ (x1−x 2).
SP slope: (0.5 - 0)/ (1.5 – 1) = 0.5/0.5 = 1
KP slope: (0.5 – 1)/ (1.5 – 1) = -0.5/0.5 = -1
SK slope: (0 – 1)/ (1 – 1) = -1/0 = Undefined.
Update with Complete Solution
Curtis Allen
C297 task 2
A.
1. The easiest method to locate the coordinates for M is by using the Midpoint
formula for both K and N.
Midpoint formula = (x1+ x 2 )/2, (y1 + y2)/2.
To begin, it’s necessary to substitute the values of K and N into this established
midpoint formula.
X coord = (1 + 2)/2 = 3/2 or 1.5
Y coord = (1 + 1)/2 = 2/2 or 1
With the coordinates calculated, it is established that M exists on an x-y coordinate
plane at
(1.5, 1).
2. Demonstrate an Isosceles Right Triangle.
a. An Isosceles Right Triangle (with two equal sides and two equal angles) can be
proven with use of the distance formula: √ (x1−x 2)² + (y1 - y2)²
#SKP sides are found by:
The side KP is found by: √((1.5 – 1) ²+ (0.5 – 1) ²) = √(0.5) = 0.707.
The side SP is found by: √((1.5 – 1) ²+ (0.5 – 1) ²) = √(0.5) = 0.707.
The side SK is found by: √((1 – 1) ²+ (0 – 1) ²) = √(0 = 1) = 1.
This shows that the lengths of KP and SP are the same, and that the figure is that
of an Isosceles Triangle.
b. Prove that the Isosceles Triangle is a Right Triangle.
The method in proving that the Isosceles Triangle is also a Right Triangle involves
the use of the Slope Formula: m = (y1 - y2)/ (x1−x 2).
SP slope: (0.5 - 0)/ (1.5 – 1) = 0.5/0.5 = 1
KP slope: (0.5 – 1)/ (1.5 – 1) = -0.5/0.5 = -1
SK slope: (0 – 1)/ (1 – 1) = -1/0 = Undefined.
