Creating Right Triangles on a Coordinate Plane

This video tutorial teaches how to create right triangles on a coordinate plane using diagonal line segments. It begins with an introduction to the concept, followed by a review of right triangle properties and the Pythagorean theorem. The video addresses common misunderstandings about measuring distances on a grid and provides a step-by-step guide to constructing right triangles using diagonal line segments. An example is provided to reinforce the learning, and the lesson concludes with a summary of the key points.

What are the components of a right triangle?

• Two right angles, two legs, and no hypotenuse

• Two right angles, one leg, and one hypotenuse

• One right angle, three legs, and no hypotenuse

• One right angle, two legs, and one hypotenuse

What is a common mistake when measuring the distance between two points on a diagonal line segment?

• Measuring the length of the hypotenuse

• Using the Pythagorean theorem

• Counting the number of grid intervals

• Calculating the area of the triangle

What is the first step in creating a right triangle from a diagonal line segment?

• Calculate the hypotenuse

• Draw a horizontal ray from one ordered pair

• Identify the midpoint of the diagonal

• Draw a vertical ray from one ordered pair

How do you ensure the rays intersect when constructing a right triangle?

• Draw both rays in the same direction

• Draw both rays horizontally

• Draw one ray horizontally and the other vertically

• Draw both rays vertically

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

• The Pythagorean theorem

• The Triangle Inequality theorem

• The Law of Sines

• The Law of Cosines