๐ Topic Summary
A parallelogram is a four-sided shape with two pairs of parallel sides. To find its area, you simply multiply the length of its base by its height. Remember, the height is the perpendicular distance from the base to the opposite side, not the length of the slanted side. Mastering this concept unlocks a whole new level of geometric problem-solving! ๐
Think of it like this: You can transform a parallelogram into a rectangle by cutting off a right triangle from one side and attaching it to the other. The area remains the same! ๐ง
๐ค Part A: Vocabulary
Match the terms with their definitions:
| Term |
Definition |
| 1. Base |
A. The perpendicular distance from the base to the opposite side. |
| 2. Height |
B. A four-sided shape with two pairs of parallel sides. |
| 3. Area |
C. The side of the parallelogram to which the height is measured. |
| 4. Parallelogram |
D. The amount of space inside a two-dimensional shape. |
| 5. Perpendicular |
E. Forming a right angle (90 degrees). |
(Match the numbers to the letters.)
โ๏ธ Part B: Fill in the Blanks
Complete the following paragraph using the words: base, height, area, parallelogram, perpendicular.
The ______ of a ______ is found by multiplying its ______ by its ______. The ______ must be measured as the ______ distance between the base and the opposite side.
๐ค Part C: Critical Thinking
Imagine you have two parallelograms with the same area. Can they have different base lengths and heights? Explain your answer. Use examples to support your reasoning. ๐ง
