Geometry Review

interior angles

100

The four angle of a pentagon are equal and the fifth angle measure 140°. Find the measure of four equal angles.

100°

200

What is the sum of interior angles for a quadrilateral?

360 degrees

300

You have a shape with 5 sides...  

2 angles are labeled 90 

1 angle is labeled x 

the last two angles are labeled (2x-20)

What is the value of x? 

x=80 

400

Four of the angles of a pentagon are equal. The fifth angle is 40°. Find the angles.

125°, 125°, 125°, 125° and 40°

500

One of the angle of a polygon is 100° and each of the other angles is 110°. Find the number of sides in the polygon.

5

exterior angles

100

What degrees are all exterior polygons equal to? 

360

200

What is the size of one exterior angle
of a regular hendecagon (11-sided
polygon)?

32.73

300

Find x when your 5 exterior angles are: 

71

84

63

x

86

x=56

400

The exterior angles of a nonagon are x°, x°, 2x°, 3x°, 4x°, 5x°, 6x°, 7x° and 7x° What is the size of the smallest interior angle of this octagon?

10

500

An exterior angle in a regular polygon measures 14.4°.  How many sides does the polygon have?

25

interior or exterior

100

Given parallelogram ABCD, find 𝑚∠𝐵. 

Where:

A= 3x-12

D= 2x+2

𝑚∠𝐵=78

200

What is the sum of the exterior for a nonagon?

360

300

Is it possible to construct a polygon, the sum of whose interior angles is 20 right angles? If yes, find the number of sides of the polygon.

Yes, 12

400

The angles of a pentagon are x°, (x – 5)°, (x + 15)°, (3x – 44)° and (x – 70)°. Find x.

92

500

Find the number of sides of a regular polygon if each of its exterior angle is 45°. 

8

sides of polygons

100

The sum of interior angles is 180°, what type of polygon is it? 

triangle 

200

The sum of interior angles is 360°, what type of polygon is it?

Quadrilateral

300

The sum of interior angles is 540°, what type of polygon is it?

Pentagon

400

The sum of interior angles is 1080°, what type of polygon is it?

Octagon

500

How do you find the sum of interior angles of any polygon? 

(n−2) × 180°

Other

100

How do you find distance of a segment in desmos? 

 “distance ((x, y), (x, y))”

200

Name a property of a parallelogram

Properties of Parallelogram:

1. Opposite sides are parallel

2. Opposite sides are equal

3. Opposite angles are equal

4. Adjacent angles add up to 180 degrees

5. Diagonals bisect each other

300

Name a property of a square. 

Properties of Square:

1. All properties of parallelogram are true for squares.

2. All sides are equal

3. All angles are right angles

4. Diagonals are perpendicular

400

Name a property of a rhombus. 

Properties of Rhombus:

1. All properties of parallelogram are true for rhombus.

2. All sides are equal

3. Diagonals are perpendicular

500

Name a property of a rectangle. 

Properties of Rectangle:

1. All properties of parallelogram are true for rectangles.

2. All angles are right angles

3. Diagonals are equal.