Vocabulary
1. An argument is a logical reason that justifies, or supports, a statement.
In math, definitions, properties, and diagrams are used to justify arguments.
A triangle is a quadrilateral since a triangle and a quadrilateral are both polygons.
Is the statement correct? Construct an argument to justify your answer.
A triangle is, by definition, a polygon with exactly
sides.
A quadrilateral is, by definition, a polygon with exactly
sides.
So, a triangle is
a quadrilateral
2. Alaia says "If I draw both diagonals in any parallelogram, I will have four identical
triangles." Is she correct? Construct an argument to justify your answer.
If the four triangles are identical, what is true?
The triangles have the same size and
The lengths of the
determine the size of the triangles.
The
measures determined the shape of the triangles.
3. Draw the two diagonals in each parallelogram. Then write whether
the sides and angles in each triangle are equal in measure.
Sides:
Sides:
Angles:
Angles:
Sides:
Sides:
Angles:
Angles:
4. Is Alaia correct? Justify your argument.
On the Back!
5. Carlos says, "A trapezoid can have four right angles." Construct an argument to
prove Carlos' statement true or false.