Angles

Question 1

What are:
1. Alternate angles?
2. Corresponding angles?
3. Co-interior angles?

Answer 1

1. Alternate angles are equal in size and lie on opposite sides of the transversal. They resemble a Z.
2. Corresponding angles are equal in size and are on opposing sides of the transversal, however they resemble an F.
3. Co-interior angles add up to 180 degrees and look similar to a C.

Question 2

What is a supplement and a complement?

Answer 2

A supplement is the angle required to make 180 degrees. For example, if you had a 100 degree angle then the supplement would be 80 degrees.

A complement is the angle required to make a 90 degree angle. If you had a 60 degree angle, then the complement needed would be 30 degrees.

Question 3

What is a transversal?

Answer 3

A transversal is the line that cuts two parallel lines.

Question 4

What are:
1. angles at a point?
2. the angle sum of a quadrilateral?
3. the angle sum of a triangle?

Answer 4

1. Angles at a point are all the angles necessary to make 360 degrees.
2. The angle sum of a quadrilateral will always equal 360 degrees.
3. A triangle’s angle sum will make 180 degrees.

Question 5

What are the 3 types of triangles and what do they do?

Answer 5

1. Equilateral triangles: Each side is exactly the same angle (60 degrees)
2. Isosceles triangles: 2 sides are equal and one side is different.
3. Scalene triangles: Each side is completely different.

Question 6

What are adjacent angles and vertically opposite angles?

Answer 6

1. Adjacent angles are two angles that are directly next to each other.
2. Vertically opposite angles are created when two straight lines intersect. They are the exact same.

Question 7

What are the conditions for lines to be parallel?

Answer 7

1. They must be straight and have a pair of corresponding angles, co-interior angles and alternate angles (If the parallel lines have a transversal)
2. Parallel lines must be drawn with an arrow on each.