Question

The coordinates of the vertices of quadrilateral abcd are a(-1, -1), b(-3, 3), c(1, 5), and d(5, 2). Drag and drop the choices into each box to correctly complete the sentences. The slope of line segment ab is __, the slope of line segment bc is __, the slope of line segment cd is __, and the slope of line segment ad is __. Quadrilateral abcd is ___ because ___.

Answer 1

The slopes of line segments in quadrilateral ABCD are calculated using the slope formula. AB has a slope of -2, BC has a slope of 0.5, CD has a slope of -0.75, and AD has a slope of 0.5. The type of quadrilateral cannot be determined without additional information.

Step-by-step explanation:

To find the slope of each line segment in the quadrilateral ABCD, we use the formula for slope which is (y2 - y1) / (x2 - x1).

For line segment AB, with coordinates A(-1,-1) and B(-3, 3), the slope is (3 - (-1)) / (-3 - (-1)) = 4 / -2 = -2, which is a straight line with a negative slope.

For line segment BC, with coordinates B(-3, 3) and C(1, 5), the slope is (5 - 3) / (1 - (-3)) = 2 / 4 = 0.5, which is a straight line with a positive slope.

For line segment CD, with coordinates C(1, 5) and D(5, 2), the slope is (2 - 5) / (5 - 1) = (-3) / 4 = -0.75, which is a straight line with a negative slope.

For line segment AD, with coordinates A(-1, -1) and D(5, 2), the slope is (2 - (-1)) / (5 - (-1)) = 3 / 6 = 0.5, which is a straight line with a positive slope.

We cannot determine the specific type of quadrilateral without further information such as side lengths or angle measures. Therefore, the last part of the answer cannot be completed with the information provided.