Triangles
Angles
Angles Part 2
Polygons
Mystery
100
Every triangle has _____ sides and _____ angles.
3 and 3
100
What are complementary angles?
Two angles that add up to 90 degrees.
100
What is a straight angle?
An angle equal to 180 degrees
100
A shape must have at least _____ sides to classify as a polygon.
3
100
Do the side lengths 4 , 10 , 8 create a triangle? Give one reason why yes/no.
Yes, 4 + 8 is greater than 10.
200
The angle sum of EVERY triangle is ______ degrees.
180
200
What are corresponding angles?
Angles that are in the SAME SPOT in each intersection area. They are always equal.
200
Find the supplement of 70.
110
200
Is a circle a polygon? Give one reason why yes/no.
No, it has curved lines.
200
What is the first step in this problem you would have to take to solve for x?
2x - 7 = 12
Add 7 to both sides of the equation.
300
What does the Triangle Inequality Theorem state?
The sum of any two sides of a triangle must be greater than the third side.
300
What are supplementary angles?
Two angles that add up to 180 degrees.
300
Name the angles that are on opposite sides of the transversal and on the outside of the two parallel lines.
Alternate exterior angles
300
What is the name of a 7-sided polygon?
heptagon
300
Do the side lengths 5, 15, 7 create a triangle? Give one reason why yes/no.
No, 5 + 7 is not greater than 15.
400
What would the measures of the interior angles of a triangle ALL have to be if the triangle was equilateral?
60 degrees
Equilateral triangles have equal sides/angles
So, 180 degrees total / 3 angles = 60 degree.
400
Find the measure of angle a.
18 degrees
400
Find the measure of b and c.
b = 131
c = 49
400
How many triangles can fit inside a decagon?
8 triangles
A decagon has 10 sides, so 10 - 2 = 8 triangles.
400
Solve for x.
4x + 6 = 30
x = 6
500
Determine the type of triangle below.
Isosceles Obtuse
500
What is the total angle sum of all quadrilaterals?
360 degrees
Every quadrilateral has 4 sides, so they all have two triangles. So, 2 x 180 = 360
500
Find the measure of x and the measure of y
x = 60 degrees
y = 120 degrees
500
Provide 3 properties that a shape must have in order to classify as a polygon.
-Closed shape with no intersecting lines
-At least 3 lines (all straight)
-2d flat shape
500
Name the 3 classifications of triangles based on their ANGLES and explain each one.
Acute - 3 angles than 90
Obtuse - 1 angle greater than 90 but less than 180
Right - 1 angle equal to 90
600
Name the 3 classifications of triangles based on their SIDE LENGTH and explain each one.
Equilateral - 3 equal sides
Isosceles - 2 equal sides
Scalene - 0 equal sides
600
Name the 6 types of angles that you learned are created when two parallel lines are cut by a transversal.
Corresponding
Vertical
Same Side Interior
Same Side Exterior
Alternate Interior
Alternate Exterior
600
Explain the steps to determine the total angle sum of any polygon.
- Determine how many triangles fit inside by doing n-2
-Multiply the number of triangles by 180
600
Is a rectangle a square? Give on reason why yes/no.
No. To be a square, the shape must have 4 equal sides. A rectangle does not - only its opposite sides are equal.
600
Name all of the regular polygons from 3 sides up to 10 sides in order.
Triangle, Square, Pentagon, Hexagon, Heptagon, Octagon, Nonagon, Decagon