Answer:
a. In the picture of the window, we can see several types of quadrilaterals. Let's name them using the labeled vertices:
- Quadrilateral ABCD: This is a rectangle because all four angles are right angles.
- Quadrilateral ABEF: This is a parallelogram because opposite sides are parallel and congruent.
- Quadrilateral CDFG: This is a trapezoid because it has one pair of parallel sides.
- Quadrilateral EFGH: This is a rhombus because all four sides are congruent.
b. To identify the parallelograms in the picture, we need to consider specific properties of quadrilaterals:
- Rectangle ABCD: To identify this parallelogram, we need to know that opposite sides are parallel and congruent, and all angles are right angles. - Parallelogram ABEF: We can identify this parallelogram by knowing that opposite sides are parallel and congruent.
- Rhombus EFGH: This parallelogram has all four sides congruent, so knowing that property helps us identify it.
- Note that the trapezoid CDFG is not a parallelogram because its opposite sides are not parallel. By understanding the properties of parallelograms, we can correctly identify the parallelograms in the picture. It's important to remember that each type of parallelogram has specific properties related to its sides, angles, or diagonals.
Explanation:
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