Instructions:Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match each set of vertices with the type of quadrilateral they form.
Tiles
A(2, 0), B(3, 2), C(6, 3), D(5, 1)
a parallelogram with
nonperpendicular adjacent sides
A(3, 3), B(3, 6), C(7, 6), D(7, 3)
a rectangle with noncongruent
adjacent sides
A(-5, -3), B(-4, -1), C(-1, -1), D(0, -3)
a square
A(2, -2), B(3, 0), C(4, -2), D(3, -4)
a rhombus with nonperpendicular
adjacent sides
A(3, 3), B(2, 5), C(4, 6), D(5, 4)
Pairs
I'm confused and need help.
To solve this task, you need to match each set of vertices with the type of quadrilateral they form. Here are the steps you can follow:
1. Read the given information carefully. In this case, you are given a set of vertices for different quadrilaterals.
2. Examine each set of vertices and compare them to the properties of different types of quadrilaterals.
3. Let's analyze the first set of vertices: A(2, 0), B(3, 2), C(6, 3), D(5, 1). To determine the type of quadrilateral it forms, we need to consider the properties of different quadrilaterals.
- A parallelogram has opposite sides that are parallel.
- A rectangle has four right angles (90 degrees).
- A square has all sides congruent and four right angles.
- A rhombus has all sides congruent but opposite sides are not necessarily parallel.
Looking at the given set of vertices, we can see that the opposite sides are not parallel, indicating that it is not a parallelogram. Also, there are no right angles, which rules out both rectangle and square. Therefore, the only option left is a rhombus with nonperpendicular adjacent sides.
4. Repeat this process for the other sets of vertices: A(3, 3), B(3, 6), C(7, 6), D(7, 3); A(-5, -3), B(-4, -1), C(-1, -1), D(0, -3); A(2, -2), B(3, 0), C(4, -2), D(3, -4); A(3, 3), B(2, 5), C(4, 6), D(5, 4).
5. After analyzing each set of vertices and comparing them to the properties of quadrilaterals, match each set with the correct type of quadrilateral.
Match each set of vertices with the type of quadrilateral they form.
A(2, 0), B(3, 2), C(6, 3), D(5, 1)
a parallelogram with
nonperpendicular adjacent sides
A(3, 3), B(3, 6), C(7, 6), D(7, 3)
a rectangle with noncongruent
adjacent sides
A(-5, -3), B(-4, -1), C(-1, -1), D(0, -3)
a square
A(2, -2), B(3, 0), C(4, -2), D(3, -4)
a rhombus with nonperpendicular
adjacent sides
A(3, 3), B(2, 5), C(4, 6), D(5, 4)
A(2, 0), B(3, 2), C(6, 3), D(5, 1)
a parallelogram with
nonperpendicular adjacent sides
A(3, 3), B(3, 6), C(7, 6), D(7, 3)
a rectangle with noncongruent
adjacent sides
A(-5, -3), B(-4, -1), C(-1, -1), D(0, -3)
a square
A(2, -2), B(3, 0), C(4, -2), D(3, -4)
a rhombus with nonperpendicular
adjacent sides
A(3, 3), B(2, 5), C(4, 6), D(5