Question

Problem 7B
What kind of quadrilateral is the shape shown here?
The matching arrow labels indicate that two opposite sides are parallel.
A shape with four sides measuring 7 units, 7 units, 13 units, and 13 units. The shape has two sets of parallel sides and has four right angles.




Choose all answers that apply:
Choose all answers that apply:
(Choice A) Square
A
Square
(Choice B) Rectangle
B
Rectangle
(Choice C) Rhombus
C
Rhombus
(Choice D) Parallelogram
D
Parallelogram

Answer 1

Based on the description of the shape having two sets of opposite sides that are parallel, measuring four sides with two pairs of equal lengths (7 units and 13 units), and having four right angles, we can analyze the options.

1. **Square**: A square requires all four sides to be equal, which is not the case here (we have sides of 7 and 13 units). So, this option does not apply.

2. **Rectangle**: A rectangle has opposite sides that are equal and four right angles, which is true for this shape. Therefore, it applies.

3. **Rhombus**: A rhombus requires all four sides to be equal, which does not apply here (we have different lengths). So, this option does not apply.

4. **Parallelogram**: A parallelogram has two sets of opposite sides that are equal and parallel. Since this shape has two sets of parallel sides and opposite sides that are equal, it applies.

In conclusion, the applicable choices are:
- **B** (Rectangle)
- **D** (Parallelogram)