Question

"Plot the points and sketch Z ABC. Classify the angle.

13. A(-3, 3), B(0, 0), C(3, 3)
14. A(-2, -3), B(0, 0), C(3, 2)
what’s the angle of the coordinates?

Answer 1

13) The angle between the lines AB and BC is an acute angle.

14) The angle between the lines AB and BC is an acute angle.

Step-by-step explanation:

The classification of angles depends on their measure. An angle is classified as acute, right, obtuse, or straight based on its measure. Here are the definitions of each type of angle:

• An acute angle is an angle that measures between 0 and 90 degrees.
• A right angle is an angle that measures exactly 90 degrees.
• An obtuse angle is an angle that measures between 90 and 180 degrees.
• A straight angle is an angle that measures exactly 180 degrees.

To classify the angles in the given coordinates, we need to calculate the measure of each angle. We can use the following formula to calculate the measure of an angle between two lines:

tan(θ) = |(m1 - m2) / (1 + m1 * m2)|

where θ is the angle between the two lines, m1 and m2 are the slopes of the two lines.

13) For the first set of coordinates, we have:

m1 = (3 - 0) / (-3 - 0) = -1

m2 = (3 - 0) / (3 - 0) = 1

tan(θ) = |(-1 - 1) / (1 + (-1) * 1)| = 1

Therefore, the angle between the lines AB and BC is an acute angle.

14) For the second set of coordinates, we have:

m1 = (-3 - 0) / (-2 - 0) = 1.5

m2 = (2 - 0) / (3 - 0) = 0.67

tan(θ) = |(1.5 - 0.67) / (1 + 1.5 * 0.67)| = 0.75

Therefore, the angle between the lines AB and BC is an acute angle.

Hence, both angles are acute angles.