Question

The coordinates of the vertices of △JKL are J(3, 4), K(3, 1), and L(1, 1).

(a) True
(b) False

Answer 1

The triangle JKL is not a right angle triangle.

Step-by-step explanation:

Given the coordinates of the vertices of triangle JKL as J(3, 4), K(3, 1), and L(1, 1), we can determine if the statement (a) True or (b) False is correct. To determine if the triangle is a right angle triangle, we can calculate the slopes of the sides JK, KL, and LJ. If the product of the slopes of any two sides is -1, then the triangle is a right angle triangle. Let's calculate the slopes:

1. Calculate the slope of JK: mJK = (y2 - y1) / (x2 - x1) = (1 - 4) / (3 - 3) = -3/0 (undefined slope)
2. Calculate the slope of KL: mKL = (1 - 1) / (1 - 3) = 0/(-2) = 0 (zero slope)
3. Calculate the slope of LJ: mLJ = (4 - 1) / (3 - 1) = 3/2

The product of the slopes of JK and KL is undefined * 0 = 0, which is not -1. Therefore, the triangle JKL is not a right angle triangle. So, the answer is (b) False.