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Geometric shapes are mathematical shapes that include squares and triangles
<h3>How to prove the shape is a square</h3>The side lengths of a square are congruent, and the adjacent sides are perpendicular.
So, we start by calculating the side lengths using the following distance formula
Using the above formula, we have:
The above shows that the side lengths of the square are congruent.
Next, calculate the slope of the sides using:
So, we have:
Notice that the opposite slopes are congruent, and the adjacent slopes are opposite reciprocal.
The above highlight, and the equal side lengths show that the figure (1) is a square
<h3>How to prove the shape is a right isosceles triangle</h3>The legs of a right isosceles triangle are congruent, and the legs are perpendicular.
So, we start by calculating the lengths of the legs using the following distance formula
Using the above formula, we have:
The above shows that the legs of the right isosceles triangle are congruent.
Next, calculate the slope of the legs using:
So, we have:
Notice that the slopes are opposite reciprocal.
The above highlight, and the equal legs show that the figure (2) is a right isosceles triangle
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