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A. Study the figure then answer the questions that follows.
____1. What shape will be formed after dividing a square diagonally
____2. How many triangles can you make if you divide a trapezoid diagonally
____3. How many triangles can be formed in a parallelograme
____4. If you divide the rectangle vertically what shape will be the result
____5. Compare a square and a rectangle. What is common to both figures


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TRY MOREA Study The Figure Then Answer The Questions That Follows1 What Shape Will Be Formed After Dividing A Square Diagonally2 How Many Triangles Can You Make class=

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ANSWERS:

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A. Study the figure then answer the questions that follows.

[tex]\blue {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: }}[/tex]

____1. What shape will be formed after dividing a square diagonally?

Triangles are formed when you divide a square diagonally. To be specific, the triangles formed are congruent. It is applicable for all kinds of parallelogram.

[tex]\blue {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: }}[/tex]

____2. How many triangles can you make if you divide a trapezoid diagonally?

• If you divide a trapezoid diagonally, you'll have two triangles as a result, they are not congruent. Thus, two diagonals will divide the trapezoid into four triangles.

[tex]\blue {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: }}[/tex]

____3. How many triangles can be formed in a parallelogram.

• A parallelogram can always be divided into two identical or congruent triangles by a segment that connects opposite vertices, a diagonal.

[tex]\blue {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: }}[/tex]

____4. If you divide the rectangle vertically what shape will be the result?

• The resulting shape is still a rectangle. Note that a square can be classified as a rectangle.

[tex]\blue {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: }}[/tex]

____5. Compare a square and a rectangle. What is common to both figures?

• They are both parallelograms. A square is a rectangle yet does not guarantee that all rectangles are square. Both have four congruent interior angles, 90° each. Their opposite sides are parallel to each other and their diagonals bisect each other.

[tex]\blue {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: }}[/tex]