Grade 5 Geometry: Unit Review

Worked examples

Real problems from the practice worksheets, solved one step at a time.

1. Example 1

   A parallelogram has 4 equal sides, but no right angles. What is its most specific name?

   1. All 4 sides are the same length, so it is a rhombus.
   2. It has no right angles, so it is not a square.
   3. Its most specific name is rhombus.

   Answer: rhombus

2. Example 2

   How many of these names are true for EVERY square: rectangle, polygon, and rhombus?

   1. Check each name against what EVERY square has.
   2. rectangle — yes, it always has 4 right angles; polygon — yes, it is a closed shape with straight sides; rhombus — yes, it always has 4 equal sides.
   3. So 3 of the names are true for every square.

   Answer: 3

3. Example 3

   How many pairs of perpendicular sides does a right triangle have?

   1. Perpendicular sides meet at a right angle.
   2. A right triangle has exactly 1 right angle, where its two shorter sides meet.
   3. So it has 1 pair of perpendicular sides.

   Answer: 1