Theorems on Square: Activity 10 - Especially For You
Do the procedures below and answer the questions that follow.
1. Draw square GOLD.
2. Draw diagonals GL and OD that meet at C.
3. Measure all the segments.
4. Measure all the angles.
What to measure GL and OD and and and Measurement
What is the measure of GDL?
What can you say about the lengths of GL and DO?
If GL and DO have the same measures, can you consider square a rectangle? If yes, what theorem on rectangles justifies that a square is a rectangle?
What can you say about the measures of and ?
If GL and DO meet to form right angles, can you consider a square a rhombus? If yes, what theorem on rhombus justifies that a square is a rhombus?
What can you say about the measures of and as a pair and and as another pair?
If GL divides opposite angles equally, can you consider a square a rhombus? If yes, what theorem on rhombus justifies that a square is a rhombus?