Question

what are the base and height of the original parallelogram? to scale back to the original, use a scale factor of 2.

Explanation:

Step1: Recall scale - factor concept

The scale - factor formula is $\text{Original length}=\frac{\text{Scaled length}}{\text{Scale factor}}$.

Step2: Calculate the original base

Given the scaled - copy base is $10$ cm and the scale factor is $2$. Using the formula, the original base $b=\frac{10}{2}=5$ cm.

Step3: Calculate the original height

Given the scaled - copy height is $6$ cm and the scale factor is $2$. Using the formula, the original height $h = \frac{6}{2}=3$ cm.

Answer:

Base: $5$ cm
Height: $3$ cm