Points Lines and Planes
38 min 20 Examples
- Introduction to points, lines and planes
- Defining terms: Point, Line, Plane, Collinear, and Coplanar
- Identify each of the following points (Examples #1-4)
- True or false given the diagram of two planes (Examples #5-10)
- True or false about collinear and coplanar theory (Examples #11-16)
- Term Definitions: Line Segments and Rays
- Name the segments or rays given the illustration (Examples #17-20)
Line Segment
59 min 25 Examples
- Introduction to line segments and their measures
- What is a Postulate? Using the Ruler Postulate (Examples #1-4)
- What are congruent segments and segment bisectors? (Example #5-13)
- The segment addition postulate explained (Examples #14-19)
- Use the segment addition postulate to find the length of each segment (Examples #20-21)
- Use the midpoint formula to find missing coordinates in a coordinate plane (Examples #22-25)
- Understanding the distance formula and using it to prove congruent segments
Angle Addition Postulate
1 hr 30 Examples
- Introduction to angles and their measures
- What is an angle?
- Understanding adjacent angles and how to classify angles (Examples #1-4)
- What is the angle addition postulate (Examples #5-7)
- Find the measure of each angle and classify the angle (Examples #8-20)
- What is an angle bisector? (Examples #21-23)
- Find the measure of each angle given an angle bisector (Examples #24-25)
- Tell whether each statement is always, sometimes or never true (Examples #26-30)
Angle Relationships
32 min 12 Examples
- Introduction to Angle Pair Relationships
- Overview of Complementary, Supplementary, Adjacent, and Vertical Angles and Linear Pair
- Use the diagram to solve for the unknown angle measures (Examples #1-8)
- Find the measure of each variable involving Linear Pair and Vertical Angles (Examples #9-12)
Inductive Reasoning
22 min 12 Examples
- Introduction to inductive reasoning
- What are conjectures & counterexamples? (Examples #1-3)
- Using inductive reasoning to make conjectures (Examples #4-7)
- Show that each conjecture is false by finding a counterexample (Examples #8-12)
Area and Perimeter
31 min 9 Examples
- Introduction to Perimeter and Area
- Formulas for Perimeter and Area of Squares, Rectangles, Triangles and Circles
- Find the perimeter, circumference, and area of each figure (Examples #1-4)
- Find the Area of each figure on the coordinate plane (Examples #5-6)
- Find the unknown measure given a figures area (Examples #7-9)
Chapter Test
1 hr 8 min 35 Practice Problems
- Answer True or False using the figure (Problems #1-6)
- Use the diagram of a rectangular prism to answer the questions (Problems #7-11)
- Use Segment Addition to answer the questions (Problems #12-13)
- Find the indicated angle (Problems #14-21)
- Find the Angle Measure (Problems #22-27)
- Find the Midpoint and Distance of a given segment (Problem #28)
- Find the values of the variables (Problems #29-30)
- Find the values of the variables and make a conjecture (Problems #31-32)
- Find the perimeter and area for each figure (Problems #33-35)