Name That Polygon
This quadrilateral has 4 congruent sides and 4 congruent right angles. Name that polygon.
What is a square?
In this 3-sided polygon, two angles are 45° and 65°. Find the missing angle.
What is 70o?
This quadriateral has exactly one pair of parallel sides
What is a trapezoid?
The Icosagon Inquiry
This is the total sum of the interior angles of a 20-sided icosagon.
What is 3240o?
This quadrilateral has 2 pairs of parallel sides. Name that polygon.
What is a parallelogram?
A quadrilateral has angles: 90°, 85°, 95°, and x°.
Find x.
What is 90°?
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?
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 120o?
This regular polygon has exterior angles measuring 45° each. Name the polygon.
What is an octagon?
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°.
Determine whether the statement is always, sometimes, or never true.
A rhombus is a square.
Sometimes.
The Mystery Polygon
If the sum of the interior angles of a tetradecagon is 2160o, this is the number of sides the polygon has.
What is 14?
One exterior angle of this regular polygon equals 36o. Name that polygon.
What is a decagon?
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°
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
The Mystery Polygon
The sum of the interior angles of an enneadecagon is 3,060o. How many sides does this polygon have?
What is 19?
The sum of the interior angles of a tridecagon equals 1,980o.
How many sides does this polygon have?
What is 13?
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°?
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/Exterior Connection
In a regular polygon, the measure of one interior angle is 150o This is the total number of sides of the polygon.
What is 12 sides?