Polygon Angles

Name That Polygon

100

This quadrilateral has 4 congruent sides and 4 congruent right angles. Name that polygon.

What is a square?

200

This quadrilateral has 2 pairs of parallel sides. Name that polygon.

What is a parallelogram?

300

This regular polygon has exterior angles measuring 45° each. Name the polygon.

What is an octagon?

 

400

One exterior angle of this regular polygon equals 36^o. Name that polygon.

What is a decagon?

500

The sum of the interior angles of a tridecagon equals 1,980^o. 

How many sides does this polygon have?

What is 13?

Missing Angle Mysteries

100

In this 3-sided polygon, two angles are 45° and 65°. Find the missing angle. 

What is 70^o?

200

A quadrilateral has angles: 90°, 85°, 95°, and x°. 

Find x.

What is 90°?

300

In a triangle, one angle is represented by x, another is 2x, and the third is 75°. Find x and all angles.

What is x = 35°?  

the angles are 35°, 70°, and 75°.

400

A pentagon has four angles: 110°, 95°, 120°, and 100°. The fifth angle is (x −3)° .

Find the value of x and the missing angle.

What is x =118 ?

The missing angle is 115°

500

Each interior angle of a regular octagon measures (3x+15)^o. 

Rounding to the nearest tenth, find x and the measure of each interior angle.

What is x = 40, and each interior angle is 135°?

Quadrilaterals

100

This quadriateral has exactly one pair of parallel sides

What is a trapezoid?

200

Which of the following best describes a rectangle?
A. A quadrilateral with exactly one pair of parallel sides
B. A quadrilateral with four right angles
C. A quadrilateral with four congruent sides
D. A quadrilateral with no parallel sides

What is B?

300

Determine whether the statement is always, sometimes, or never true. 

A rhombus is a square.

Sometimes.

400

Determine whether each statement is always, sometimes, or never true:

A. A square is a rectangle
B. A rectangle is a square
C. An isosceles trapezoid is a trapezoid

• A: Always
• B: Sometimes (only when all sides equal)
• C: Always

500

This quadrilateral has one pair of opposite parallel sides that each measure 7 cm and another pair of opposite parallel sides that each measure 9 cm.  What is the best classification for this polygon?

What is a parallelogram?

Interior Angle Investigations

100

The Icosagon Inquiry 

This is the total sum of the interior angles of a 20-sided icosagon.  

What is 3240^o?

200

The Regular Hexagon 

In a regular hexagon, where all sides and angles are congruent, this is the measure of exactly one interior angle.

What is 120^o?

300

The Mystery Polygon 

If the sum of the interior angles of a tetradecagon is 2160^o, this is the number of sides the polygon has.

What is 14?

400

The Mystery Polygon

The sum of the interior angles of an enneadecagon is 3,060^o.  How many sides does this polygon have?

What is 19?

500

Interior/Exterior Connection

In a regular polygon, the measure of one interior angle is 150^o This is the total number of sides of the polygon. 

What is 12 sides?