Construct and Calculate Rectangles

1. Generate side lengths

• Click on the **New Dimensions** button (and wait 2 secs).

REMEMBER: You can always click on (top right) to undo your last action.

2. Make the base of your rectangle.

• Click on "Segment with** given length from point**" icon.

• Then click on the point A (it will glow) and In the box type the number of the base of your rectangle. Hit Enter.

3. A rectangle has a 90° angle with its base.

• Click on "Angle with** given size**" icon.

• Click on point B, then on point A and erase 45 and type in 90. Leave the °! Hit Enter. (If you erase the degree sign, you can get another by clicking on the arrow to the right of .

4. Draw a line through A and C.

• Click on "Line through **2 points**" icon.

• Click on A and then C.

5. Now we need the point on this line that is the height of the rectangle so we draw a circle with center A and radius the height of the rectangle. The intersection between the circle and the line is the point we need.

• Click on "Circle with **center and radius**" icon. Click on A and then type in the value of the** height** of your rectangle.

• line circle

6. Now do 3-5 on the top side of your rectangle.

• Click on , then on A and then on D. Erase 45 and type in 90. Leave the °. Hit Enter.

• Click on , then on D and then on E.

• Click on , then on D and type in base number.

linecircle.

7. Close your rectangle ADFB.

• Click on "Segment between two points" icon. Click on A and D. Click on D and then on F. Click on F and then on B.

8. Clean up

9. Play with your rectangle.

• Click and drag any blue point (A moves the rectangle, B rotates the rectangle). Notice that the rectangle itself never changes since it is completely defined by the length of the two sides and the 90° angles.

• Click on **Reset** to start over.