WorksheetsAngles & Polygons
Total questions: 23
Worksheet time: 30mins
To have an angle, you need...
two rays
two rays and a vertex
two rays that join at a point called vertex
two rays that join at a point called vertex and a protractor
How are single angles classified?
By their position in a polygon
By their measure in degrees
By their sum in a triangle
By their connection with parallel lines
What are the types of angles based on their measure?
Acute, right, obtuse, straight, reflex and complete angles
Adjacent, vertical, complementary, and supplementary angles
Corresponding, alternate interior, alternate exterior, and consecutive interior angles
Equilateral, isosceles, scalene, and right angles
Choose 4 types of angles and explain them, based on their measure
In which ways would you call the angle shown?
∠GEF
∠FEG
∠GFE
∠EFG
If two angles add to 90°, they are called _______, if they add to 180° they are called _______, and if they add to 360° they are called_______
(write your answers separated only by a comma)
(a)
Which of the angles shown are alternate interior angles?
1 and 8
3 and 6
3 and 5
4 and 8
Which of the angles shown are alternate exterior angles?
1 and 8
3 and 6
3 and 5
4 and 8
Which of the angles shown are corresponding angles?
1 and 8
3 and 6
3 and 5
4 and 8
Explain the concept of vertical angles.
Vertical angles are adjacent angles formed by the intersection of two lines.
Vertical angles are complementary angles formed by the intersection of two lines.
Vertical angles are supplementary angles formed by the intersection of two lines.
Vertical angles are opposite angles formed by the intersection of two lines. They measure the same.
Find the measure of angle x
Define a polygon.
A polygon is a 3D shape with curved sides.
A polygon is a 2D closed figure with straight sides.
A polygon is always a regular shape.
A polygon can have an infinite number of sides and be 2D or 3D.
What are the differences between a regular and an irregular polygon?
Which option shows actual polygons?
How many sides does a hexagon have?
(a)
What is the sum of interior angles in a triangle?
180 degrees
90 degrees
360 degrees
270 degrees
Name the parts of a polygon.
Base and Height
Angles and Curves
Sides, angles and Vertices
Edges and Corners
What is the sum of interior angles in a pentagon?
(Hint: divide it in triangles)
540°
360°
450°
720°
What is the measure of an interior angle in a regular pentagon?
(Hint: divide it in triangles)
180°
120°
90°
108°
60°
The image shows different polygons and their external angles in colors.
What is the sum of exterior angles in any polygon?
360°
180°
270°
90°
Rescue question: Which city will host the 2024 Summer Olympic Games?
(a)
When you get to this question, silently raise your hand. Your guide will approach you and draw in your paper an angle. All you have to do is use a protractor, measure it and write it.
On the same piece of paper, write your date of birth in the format (DD/MM/YY); add the three numbers, and then multiply the sum times 3.
Draw an angle that measures exactly that and is named with your initial letters.
For example, I was born on 07/07/82, so my angle would be called ∠SOE and measure 288°.
