Question

Match each set of vertices with the type of quadrilateral they form

1. A (2,0), B (3,2), C (6,3), D (5,1)


A. A parallelogram with non perpendicular adjacent sides


2. A (-5,-3), B (-4,-1), C (-1,-1), D (0,-3)


B. A Square


3. A (3,3), B (2,5), C (4,6), D (5,4)


C. A rectangle with non congruent adjacent sides


4. A (3,3), B (3,6), C (7,6), D (7,3)


D. a rhombus with non perpendicular adjacent sides


5. A (2,-2), B (3,0), C (4,-2), D (3,-4)

Answer 1

A. A parallelogram with non perpendicular adjacent sides<===>

2. A (-5,-3), B (-4,-1), C (-1,-1), D (0,-3)

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C. A rectangle with non congruent adjacent sides

4. A (3,3), B (3,6), C (7,6), D (7,3)

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B. A Square

3. A (3,3), B (2,5), C (4,6), D (5,4)

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D. a rhombus with non perpendicular adjacent sides

1. A (2,0), B (3,2), C (6,3), D (5,1)

Answer 2

We can easily answer these problems by graphing the points and connecting them with lines.

1. The attached figure with red lines represent the quadrilateral formed by the points. We can see that the quadrilateral is indeed a parallelogram but the adjacent sides are not forming right angles.

ANSWER: A. A parallelogram with non perpendicular adjacent sides.

2. Refer to the attached figure with blue lines for the figure formed by the coordinates. It is evident that the quadrilateral formed is a trapezoid. Unfortunately, it is not among the choices, but all the other options are taken so this can lead us to deduce that the answer is not provided among the choices.

ANSWER: Trapezoid.

3. The figure with green lines in the attachments shows the quadrilateral formed by the coordinates. We can see that the shape formed is a square, although it's just tilted.

ANSWER: B. A square.

4. The diagram with the orange lines shows the quadrilateral formed by the coordinates. By looking at the graph, we know that the shape formed is a rectangle.

ANSWER: C. A rectangle with non congruent adjacent sides.

5. Looking at the diagram with the violet lines, we can see that the quadrilateral formed by the coordinates for this problem is a rhombus.

ANSWER: D. A rhombus with non perpendicular adjacent sides