Question

here are some measurements taken by four different students. select all the parallelograms with measurements that can be used as a base and height pair. a. 25 cm and 11.4 cm b. 15 cm and 25 cm c. 15 cm and 11.4 cm d. 15 cm and 24 cm

Explanation:

Step1: Recall base - height definition

In a parallelogram, the base is any of its sides and the height is the perpendicular distance between the base and the opposite side.

Step2: Analyze Option A

The 11.4 cm line is perpendicular to the 25 - cm side. So, 25 cm can be the base and 11.4 cm can be the height.

Step3: Analyze Option B

There is no perpendicular relationship shown between the 15 - cm and 25 - cm sides, so they cannot be a base - height pair.

Step4: Analyze Option C

The 11.4 cm line is perpendicular to the 15 - cm side. So, 15 cm can be the base and 11.4 cm can be the height.

Step5: Analyze Option D

The 24 - cm line is perpendicular to the 15 - cm side. So, 15 cm can be the base and 24 cm can be the height.

Answer:

A. 25 cm as base, 11.4 cm as height; C. 15 cm as base, 11.4 cm as height; D. 15 cm as base, 24 cm as height