Question

which parallelogram has a correct height labeled for the given base? select all the parallelograms that are labeled correctly. b h b h b h b h b

Explanation:

Step1: Recall the definition of the height of a parallelogram

The height of a parallelogram with respect to a given base is the perpendicular distance between the two parallel sides (where the base is one of the parallel sides).

Step2: Analyze each parallelogram

• Green parallelogram: The line labeled \(h\) is perpendicular to the base \(b\), so it is a correct height - base pair.
• Blue parallelogram: The line labeled \(h\) is perpendicular to the base \(b\), so it is a correct height - base pair.
• Orange parallelogram: The line labeled \(h\) is not perpendicular to the base \(b\). The height must be perpendicular to the base. So this is an incorrect label.
• Purple parallelogram: The line labeled \(h\) is perpendicular to the base \(b\), so it is a correct height - base pair.
• Yellow parallelogram: The line labeled \(h\) is perpendicular to the base \(b\), so it is a correct height - base pair.

Answer:

Green parallelogram, Blue parallelogram, Purple parallelogram, Yellow parallelogram.