Geometry Concepts and Problem Solving

In this lesson, Mr. Hul guides students through problem-solving exercises involving the coordinate plane. The focus is on calculating distances using absolute values, constructing line segments, and forming geometric shapes like rectangles and triangles. Students learn to find the perimeter and area of these shapes and explore the properties of diagonals. The lesson emphasizes accuracy in graphing and the importance of using tools like rulers for precision.

What is the absolute value of -3?

• 6

• -3

• 0

• 3

How do you verify the distance between two points on a vertical line?

• By multiplying the coordinates

• By counting the units between them

• By subtracting the coordinates

• By adding the coordinates

What tool is recommended for drawing accurate line segments on a graph?

• Compass

• Protractor

• Ruler

• Calculator

If a line segment starts at (4, -3) and is 9 units long horizontally, what could be the other endpoint?

• (4, -12)

• (4, 6)

• (13, -3)

• (5, -3)

How do you find the fourth vertex of a rectangle given three vertices?

• By using absolute values and known distances

• By using symmetry

• By drawing random lines

• By guessing

What is the formula for the perimeter of a rectangle?

• Length * Width

• 2 * (Length + Width)

• Length - Width

• Length + Width

What is the area of a rectangle with a length of 9 units and a width of 8 units?

• 17 square units

• 36 square units

• 81 square units

• 72 square units

What shape is formed when a diagonal is drawn in a rectangle?

• Circle

• Two triangles

• Square

• Pentagon

In which quadrants should the vertices of a rectangle be placed if each vertex must be in a different quadrant?

• All in Quadrant 1

• Two in Quadrant 1 and two in Quadrant 2

• One in each of the four quadrants

• All in Quadrant 3

How do you verify the perimeter of a rectangle using absolute values?

• By multiplying the coordinates

• By adding the absolute values of the differences in x and y coordinates

• By dividing the coordinates

• By subtracting the coordinates