How do you divide a rectangle into 8 equal parts?

How do you divide a rectangle into 8 equal parts?

Draw a horizontal line through the middle of the square. Because all the sides of a square are equal, you know how to divide all sides equally. Once you have four rectangles, you can simply draw one horizontal line through the center of the square, dividing it into eight equal rectangles.

How do you divide a square into 8 equal parts with 3 lines?

Cut #1 – Down the center of the cake (vertically) leaving two equal halves. Cut #2 – Across the center of the cake (horizontally) leaving four equal slices. Cut #3 – Through the middle edge of the cake slicing all four of the pieces in equal halves, leaving eight equal slices (four equal tops and four equal bottoms).

Can you cut a rectangle into 3 equal triangles?

Nope! In fact, we can say much more: Monsky’s theorem states that you can’t divide a parallelogram into an odd number of triangles of equal area. The nice thing about this result is that it applies to triangles having arbitrary angles.

Is a triangle half a rectangle?

A triangle is a polygon with three sides. The area of each triangle is one-half the area of the rectangle. So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.

Can you make a rectangle with 2 triangles?

Figure 9.7. 10 – A rectangle can be divided into two triangles of equal area. The base is the length of one side of the triangle, usually the side at the bottom. The height is the length of the line that connects the base to the opposite vertex, and makes a 90° angle with the base.

How do you make a square out of an equilateral triangle?

Steps

1. Cut out the shape from the pattern.
2. Cut along the interior lines but note that in only one place do you cut through the tab. The other three tabs will act as hinges.
3. Fold the tabs up so they point straight up, i.e. perpendicular to the triangle.
4. Turn the triangle inside out to form a square.

How do you cut a cake in 8 pieces with 3 strokes?

This will leave you with 4 pieces (or slices) of cake. Step 2: Then take all 4 pieces and arrange them in a stack that is 4 pieces high. Step 3: Finally, you can just cut that stack of 4 pieces in half – using your third and final cut – and then you will end up with 8 pieces of cake!

How to divide a rectangle into two right-angled triangles?

We can divide any rectangle into n right-angled triangles, for any n > 1. There are two methods to divide: Method 1: Case 1: n = 2, we can get two right-angled triangles by cutting the rectangle along the diagonal as shown in the figure. For example: In the rectangle ABDC, we draw a diagonal BC and get two right-angled triangles, BDC and ABC.

How do you divide a square into 8 equal triangles?

Next, draw a horizontal (meaning side to side) line through the midsection. Doing this should divide the square into 8 equal triangles. If you want to, you can go over all of the lines you have made with a ruler and pen, so that the lines stand out against the paper.

How do you draw 8 equal rectangles?

Draw vertical lines to make your eight equal rectangles. Now that you have made marks that show where the center of each top and bottom side of each rectangle are, you can connect the marks in each rectangle. Again, using a ruler is the best way to do this.

How do you cut a rectangle into 4 equal parts?

If you need four parts of equal shape and size (four congruent parts), but not necessarily rectangular, there are still a number of options. You could divide the original rectangle in half by a cut parallel to one side, and then cut the resulting rectangular pieces in half along a diagonal.