Triangles and Coordinate Geometry Concepts

The video tutorial covers various aspects of triangles on the coordinate plane, emphasizing the importance of reading questions carefully. It explains how to use the Pythagorean theorem to find distances, calculate slopes, and identify y-intercepts. The tutorial also discusses dilations and transformations, highlighting the differences between similar and congruent figures. Finally, it applies these concepts to new scenarios, reinforcing the learning objectives.

Why is it important to read the question carefully when dealing with triangles on the coordinate plane?

• To identify the type of triangle

• To understand what is being asked

• To avoid making calculation errors

• To ensure you use the correct formula

What is the length of the hypotenuse if the legs of a triangle are both 3 units?

• 6 units

• 4.24 units

• 9 units

• 3 units

Which theorem is used to find the length of the hypotenuse in a right triangle?

• Slope Formula

• Pythagorean Theorem

• Midpoint Formula

• Distance Formula

How do you find the slope of a line segment in a triangle?

• By measuring the angles

• By finding the midpoint

• By using the Pythagorean theorem

• By counting the vertical and horizontal legs

What is the slope of a line segment if the rise is 3 and the run is also 3?

• 0

• 1

• 9

• 3

Where does the y-intercept occur on a graph?

• Where the line intersects the x-axis

• At the origin

• Where the line intersects the y-axis

• At the midpoint of the line

What is the effect of a dilation with a scale factor of 0.8 on a triangle?

• The triangle becomes smaller

• The triangle rotates

• The triangle becomes larger

• The triangle remains the same size

Are the original triangle and the dilated triangle congruent?

• No, because they are reflected

• Yes, because they have the same angles

• No, because the size changes

• Yes, because they are similar

What is the distance between points L and N if the legs of the triangle are 2 and 3 units?

• 2 units

• 5 units

• 3 units

• 3.6 units

What is the rule for translating a triangle 4 units to the left and 2 units down?

• Add 4 to x and subtract 2 from y

• Subtract 4 from x and add 2 to y

• Subtract 4 from x and subtract 2 from y

• Add 4 to x and add 2 to y