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Math 106 - Cooley
Math For Elementary Teachers II
OCC
Activity #4 – Classification of Triangles and Quadrilaterals
California State Content Standard – Measurement and Geometry for Grade Six
2.0 Students identify and describe the properties of two-dimensional figures:
2.3 Draw quadrilaterals and triangles from given information about them (e.g., a quadrilateral having equal sides but no
right angles, a right isosceles triangle).
Definitions
Triangle - Closed figure composed of exactly 3 line segments, called sides.
Right Triangle - A triangle that contains exactly one right angle.
Isosceles Triangle - A triangle with two or three sides that are congruent.
Equilateral Triangle - A triangle with three sides that are congruent.
Scalene Triangle - A triangle that has three different lengths of size.
Quadrilateral - Closed figure composed of exactly 4 line segments.
Square - A quadrilateral having four congruent sides and four right angles.
Rectangle - A quadrilateral having four right angles.
Parallelogram - A quadrilateral with two pairs of parallel sides.
Kite - A quadrilateral with two non-overlapping pairs of adjacent sides that are congruent.
Rhombus - A quadrilateral having four congruent sides.
Trapezoid - A quadrilateral with exactly one pair of parallel sides.
Equilateral - Any figure whose sides are congruent.
Equiangular - Any figure that has all of its angles congruent.
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Math 106 - Cooley
Math For Elementary Teachers II
OCC
Activity #4 – Classification of Triangles and Quadrilaterals
 Exercises: Answer the following statement with Always, Sometimes, or Never.
1)
A square is a rectangle. __________
2)
A rhombus is a square. __________
3)
A parallelogram is a rhombus. __________
4)
A parallelogram is a kite. __________
5)
A square is a rhombus. __________
6)
A rectangle is a square. __________
7)
A rectangle is a parallelogram. __________
8)
A rhombus is a parallelogram. __________
9)
A parallelogram is a trapezoid. __________
10)
A parallelogram is a rectangle. __________
11)
An isosceles triangle is an equilateral triangle. __________
12)
An equilateral triangle is an equiangular triangle. __________
13)
An isosceles triangle is a scalene triangle. __________
14)
An equilateral triangle is an isosceles triangle. __________
15)
An equiangular triangle is an equilateral triangle. __________
16)
An isosceles triangle is a right triangle. __________
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Math 106 - Cooley
Math For Elementary Teachers II
OCC
Activity #4 – Classification of Triangles and Quadrilaterals
Trapezoid
Kite
Square
Rhombus
Rectangle
Properties
Parallelogram
 Exercises: Place an X in the box if the shape always has the given property.
17) Both pairs of opposite sides are parallel.
18) Both pairs of opposite sides are congruent.
19) Both pairs of opposite angles are congruent.
20) Consecutive angles are supplementary.
21) Diagonals bisect each other.
22) Diagonals are perpendicular.
23) Diagonals are congruent.
 Exercises: Draw the appropriate figure under the given conditions.
24)
A rectangle that is not a square.
25)
A parallelogram that is not a rhombus.
26)
A kite with exactly one right angle.
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Math 106 - Cooley
Math For Elementary Teachers II
OCC
Activity #4 – Classification of Triangles and Quadrilaterals
 Exercises: Refer to the figure above. Find the following shapes in the figure.
27)
Three squares. ______________________________________
28)
A rectangle that is not a square. ______________________________
29)
A parallelogram that is not a rectangle. ______________________________
30)
Seven congruent right isosceles triangles. _____________________________________________
31)
An isosceles triangle not congruent to those in # 30). ______________________________
32)
A rhombus that is not a square. ______________________________
33)
A kite that is not a rhombus. ______________________________
34)
A scalene triangle with no right angles. ______________________________
35)
A right scalene triangle. ______________________________
36)
A trapezoid that is not isosceles. ______________________________
37)
An isosceles trapezoid. ______________________________
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