Geometry

Question 1

What are coplanar points?

Answer 1

• points that are on the same plane - a single plane can pass through any 3 points in space

Question 2

What are colinear points?

Answer 2

• points on the same line - any two points in space are colinear

Question 3

What is a line segment?

Answer 3

• two end points and all points in between those end points

Question 4

What are parallel lines?

Answer 4

• two lines going in the same direction where for each point on one line the opposite line is equidistant

Question 5

How do you find the area of a parallelogram if you know the base and height?

Answer 5

• the same as finding the area of a square or rectangle, base * height

Question 6

What is a trapezoid?

Answer 6

• a 4 sided shape, quadrilateral, with 2 parallel lines

Question 7

How do you find the area of a trapezoid?

Answer 7

• give the lengths of the two parallel sides and the overall height you can take the average of the products of the long side * height and the short side * height
  
  • or think of it as adding the two lengths together, multiplying by the height, then dividing by two.
• if you draw a full rectangle over the trapezoid, you see that each triangle reclaims half of the area of the rectangle outside the rectangle formed by the short side

Question 8

How do you solve for the side of a right triangle knowing only one side’s length and one other angle?

Answer 8

• use the trigonometric functions to solve: sine, cosine, tangent

Question 9

What is a rhombus?

Answer 9

• a 4 sided shape with 4 equal sides
• opposite sides are parallel
• diagonal lines from one corner to the next bisect at right angles
• altitude is the distance at right angles to the two sides
• area can be calculated by altitude * side length