Question

Drag the set of points that will form the given figures when graphed on a coordinate grid. Use the most specific name to classify each figure.

- (4, 1), (4, 5), (7, 5), (7, 1)
- (3, 2), (4, 5), (7, 5), (8, 2)
- (3, 4), (3, 6), (4, 6), (4, 4)
- (3, 4), (3, 6), (5, 6), (5, 4)

a. Square
b. Trapezoid
c. Rectangle

Answer 1

Upon reviewing the sets of points given, they are classified based on their geometric properties as a rectangle, trapezoid, square, and another rectangle.

Step-by-step explanation:

To classify the given sets of points into the most specific geometric figures when graphed on a coordinate grid, we need to consider the definitions of a square, rectangle, and trapezoid. A square is a quadrilateral with four equal sides and four right angles. A rectangle has four right angles, but opposite sides are equal (not necessarily all four sides). A trapezoid has at least one pair of parallel sides.

• (4, 1), (4, 5), (7, 5), (7, 1) - This set of points forms a rectangle because opposite sides are both equal and parallel, but the sides are not of equal length.
• (3, 2), (4, 5), (7, 5), (8, 2) - This set of points forms a trapezoid because it has only one pair of parallel sides, specifically (4, 5) to (7, 5) and (3, 2) to (8, 2) are non-parallel.
• (3, 4), (3, 6), (4, 6), (4, 4) - This set of points forms a square because all sides are equal and it has four right angles.
• (3, 4), (3, 6), (5, 6), (5, 4) - This set forms a rectangle as opposite sides are equal and it has four right angles, but the sides are not all of equal length like a square.

Therefore, the classification for each set of points is:

1. a. Rectangle
2. b. Trapezoid
3. a. Square
4. c. Rectangle