Question

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

Explanation:

Step1: Recall the definition of height in a parallelogram

The height of a parallelogram with respect to a given base is the perpendicular distance from the base to the opposite side.

Step2: Analyze each parallelogram

• Green parallelogram: The segment labeled \(h\) is perpendicular to the base \(b\). So, it is a correct height - base pair.
• Yellow parallelogram: The segment labeled \(h\) is perpendicular to the base \(b\). So, it is a correct height - base pair.
• Blue parallelogram: The segment labeled \(h\) is perpendicular to the base \(b\). So, it is a correct height - base pair.
• Orange parallelogram: The segment labeled \(h\) is not perpendicular to the base \(b\). So, it is not a correct height - base pair.
• Purple parallelogram: The segment labeled \(h\) is perpendicular to the base \(b\). So, it is a correct height - base pair.

Answer:

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