Rectangle Properties and Coordinate Geometry

In this video tutorial, students learn about problem-solving in the coordinate plane, focusing on calculating the length of line segments using their endpoints. The lesson includes finding possible coordinates for endpoints and graphing a rectangle with a specified area and perimeter. The teacher provides visual aids and examples to support different learning styles, concluding with encouragement for students to practice the concepts discussed.

What is the primary method to determine the length of a line segment on a coordinate plane?

• Counting grid squares

• Measuring angles

• Finding the distance between endpoints

• Using a ruler

When plotting the point (-2, -7) on a coordinate grid, which direction do you move from the origin?

• Right and down

• Right and up

• Left and up

• Left and down

If a line segment is 12 units long, which of the following could be a possible coordinate for the other endpoint if one endpoint is at (-2, -7)?

• (10, -7)

• (-2, 5)

• (-14, -7)

• (0, 0)

How many possible coordinates were explored for the other endpoint of the line segment?

• Five

• Four

• Three

• Two

What is the area of a rectangle with a base of 2 units and a height of 6 units?

• 8 square units

• 10 square units

• 14 square units

• 12 square units

In which quadrants should the vertices of the rectangle lie?

• In all four quadrants

• In at least two quadrants

• Only in the second quadrant

• Only in the first quadrant

What is the length of the longer side of the rectangle discussed in the session?

• 2 units

• 8 units

• 4 units

• 6 units

What is the perimeter of the rectangle with sides of 2 and 6 units?

• 18 units

• 14 units

• 12 units

• 16 units

Which formula is used to calculate the area of a rectangle?

• Length + Width

• Length x Width

• 2 x (Length + Width)

• Length - Width

What was the total perimeter of the rectangle discussed in the session?

• 18 units

• 12 units

• 14 units

• 16 units