Question

graph and label the quadrilateral with the given vertices. then determine

\\(a(-8, -2), b(-4, 4), c(4, 4), d(8, -2)\\)

choose the correct graph of abcd below.

what is the most precise name for the quadrilateral abcd?

a. the quadrilateral abcd is a trapezoid.
b. the quadrilateral abcd is a rhombus.
c. the quadrilateral abcd is a parallelogram.
d. the quadrilateral abcd is a square.
e. the quadrilateral abcd is a kite.
f. the quadrilateral abcd is an isosceles trapezoid.
g. the quadrilateral abcd is a rectangle.

Explanation:

Identify the correct graph of the vertices

$$
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Comparing these coordinates to the options:

• Graph A shows \(A\) at \((-8, -2)\), \(B\) at \((-4, 4)\), \(C\) at \((4, 4)\), and \(D\) at \((8, -2)\).

Calculate side slopes and lengths

$$
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Determine the most precise classification

$$
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Since one pair of opposite sides is parallel and the non-parallel sides are equal in length, the quadrilateral is an isosceles trapezoid.

Answer:

Question 1

• A. (Graph showing vertices at A(-8, -2), B(-4, 4), C(4, 4), D(8, -2)) (Correct answer)
• B. (Graph showing incorrect vertices)

Question 2

• A. The quadrilateral ABCD is a trapezoid.
• B. The quadrilateral ABCD is a rhombus.
• C. The quadrilateral ABCD is a parallelogram.
• D. The quadrilateral ABCD is a square.
• E. The quadrilateral ABCD is a kite.
• F. The quadrilateral ABCD is an isosceles trapezoid. (Correct answer)
• G. The quadrilateral ABCD is a rectangle.