MATH C972 TASK 2 (Latest 2026/2027
Update) with Complete Solutions &
Explanations - Curtis Allen (WGU)
Each Question has two Simplified
Separate Formulas
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+x2)/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−x2)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−x2).
Update) with Complete Solutions &
Explanations - Curtis Allen (WGU)
Each Question has two Simplified
Separate Formulas
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+x2)/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−x2)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−x2).
