Question

Prove angle MT=90° by calculating the slopes of MT and HT. Write your answer as a fraction.

Answer 1

To prove that m∠T=90°, calculate the slopes of MT and HT. The slope of MT is 0, indicating a vertical line. Therefore, m∠T=90°.

Step-by-step explanation:

To prove that m∠T=90°, we need to calculate the slopes of MT and HT.

Let's assume that the slope of MT is m₁ and the slope of HT is m₂.

Since line MT is perpendicular to line HT, the product of their slopes should be -1. In other words, m₁ * m₂ = -1.

If m₁ * m₂ = -1, and we know that the slope of HT is 0 (because it is a horizontal line), then m₁ * 0 = -1, which means m₁ = 0.

Therefore, the slope of MT is 0, which indicates that the line MT is a vertical line.

Hence, m∠T=90°.