Polygons

Definitions

100

A quadrilateral with 2 pairs of parallel sides and 2 pairs of equal sides.

Parallelogram

200

A quadrilateral with 2 pairs of parallel sides, 4 equal sides, and 4 right angles.

Square

300

A quadrilateral with 1 pair of parallel sides, 1 pair of equal sides, and no right angles

Trapezoid

400

A quadrilateral with 2 pairs of parallel sides, 2 pairs of equal sides, and 4 right angles

Rectangle

500

A quadrilateral with 2 pairs of parallel sides and 4 equal sides, but no right angles

Rhombus

True/False

100

A rectangle is always a square.

False - not all rectangles have 4 equal sides.

200

A square is always a rectangle.

True - squares and rectangles have 4 right angles, 2 pairs of parallel sides, and 2 pairs of equal sides.

300

A square is always a rhombus.

True - Both have 4 equal sides and 2 pairs of parallel sides.

400

A rhombus is always a square.

False - a rhombus does not always have 4 right angles.

500

A rhombus is always a parallelogram.

True - a rhombus has 2 pairs of parallel sides and 2 pairs of equal sides.

Name that Quadrilateral

100

Any rectangle with all sides the same length.

Square

200

One side of a parallelogram is 5 inches and another side is 8 inches. What are the lengths of the other two sides?

5 inches and 8 inches

300

Any rhombus with 4 right angles.

Square

400

Any parallelogram with 4 right angles could also be what TWO shapes?

Square and Rectangle

500

What FOUR shapes are quadrilaterals with opposite sides that are the same length?

Parallelogram, Rhombus, Rectangle, Square

Missing Measure

100

A quadrilateral has angles measuring 87^o,112^o & 92^o What is the measure of the missing angle?

The sum of the angles of a quadrilateral is always 360^o so the missing angle must be 69^o

200

A quadrilateral has angles measuring 71^o,124^o & 68^o What is the measure of the missing angle?

The sum of the angles of a quadrilateral is always 360^o so the missing angle must be 97^o

300

A quadrilateral has angles measuring 95^o,74^o & 46^o What is the measure of the missing angle?

The sum of the angles of a quadrilateral is always 360^o so the missing angle must be 145^o

400

A triangle has angles measuring 32^o & 116^o What is the measure of the missing angle?

The sum of the angles of a triangle is always 180^o so the missing angle must be 32^o

500

A triangle has angles measuring 55^o & 67^o What is the measure of the missing angle?

The sum of the angles of a triangle is always 180^o so the missing angle must be 58^o

Triangles

100

A triangle has angles measuring 45^o, 45^o & 90^o Based on the measurement of its angles, what type of triangle is it?

It is a RIGHT triangle because it has one right angle.

200

A triangle has angles measuring 140^o, 40^o & 10^o Based on the measurement of its angles, what type of triangle is it?

It is an OBTUSE triangle because it has one angle greater than 90^o

300

A triangle has side lengths 4m, 5m & 6m. Based on the lengths of its sides, what type of triangle is it?

Since each side has a different length, this is a SCALENE triangle.

400

A triangle has side lengths 9m, 9m & 12m. Based on the lengths of its sides, what type of triangle is it?

Since two sides are congruent, this triangle is ISOSCELES.

500

A triangle has angles measuring 60^o, 60^o & 60^o Based on the measurement of its angles AND the lengths of its sides, what TWO names can you give this triangle?

It is EQUILATERAL and ACUTE. All the angles are equal so the sides must also be equal. All the angles are less than 90^o