Question

The coordinates of the vertices of △JKL are J(0, 2) , K(3, 1) , and L(1, −5) .

Drag and drop the choices into each box to correctly complete the sentences.
The slope of JK is
the slope of KE is
and the slope of JE is
JKL
right triangle because
is not
no two of these slopes have product of
two of these slopes have product of

Answer 1

The slope of line JK is -1/3, the slope of line KE is 3, and the slope of line JE is -1/3. The slopes do not have a product of zero, so the statement about the right triangle is incorrect.

Step-by-step explanation:

The slope of line JK can be determined by finding the difference in y-coordinates of the two points (the rise) divided by the difference in x-coordinates (the run). So, the slope of JK is (1 - 2) / (3 - 0) = -1/3.

The slope of line KE can be determined using the same method. The slope of KE is (1 - (-5)) / (3 - 1) = 6/2 = 3.

The slope of line JE can be found similarly. The slope of JE is (1 - 2) / (3 - 0) = -1/3.

A right triangle has one angle that measures 90 degrees. Since the sum of the angles in a triangle is always 180 degrees, the other two angles in the right triangle must add up to 90 degrees. Since none of the slopes calculated above equal zero, the product of any two slopes is not zero. Therefore, the statement is incorrect and the answer is 'no'.