Question

The given coordinates of the illustrated triangle are:

Point A: (-6, -5)
Point B: (-6, -2)
Point C: (0, -5)
Now, let's calculate the side lengths of this triangle:

Side AB:

The horizontal distance between A and B is 0, as both points have the same x-coordinate (-6).
The vertical distance between A and B is 3 units (from -5 to -2).
Side AC:

The horizontal distance between A and C is 6 units (from -6 to 0).
The vertical distance between A and C is 0, as both points have the same y-coordinate (-5).
Side BC:

The horizontal distance between B and C is 6 units (from -6 to 0).
The vertical distance between B and C is 3 units (from -2 to -5).
Now, we'll compare the side lengths of the given answer choices to these calculated side lengths to find the similar triangle:

A (-6, -5)(-6, -2)(0, -5):

Side AB: 3 units
Side AC: 6 units
Side BC: 3 units
B (-6, -5)(-6, -1)(0, -5):

Side AB: 4 units
Side AC: 6 units
Side BC: 4 units
C (-6, -5)(-6, -2)(-1, -5):

Side AB: 5 units
Side AC: 5 units
Side BC: 1 unit
D (-6, -5)(-6, -1)(-1, -5):

Side AB: 4 units
Side AC: 5 units
Side BC: 3 units

Answer 1

To calculate the side lengths of a triangle, use the distance formula, which is the square root of the sum of the squared differences in the x-coordinates and y-coordinates of the two points. Applying this formula to the given coordinates, we find that Side AB has a length of 3 units, Side AC has a length of 6 units, and Side BC has a length of 3 units. These calculations help us determine the similar triangle.

Step-by-step explanation:

In this question, we are given the coordinates of a triangle: A(-6, -5), B(-6, -2), and C(0, -5). We are asked to calculate the side lengths of this triangle. To calculate a side length, we use the distance formula, which is the square root of the sum of the squared differences in the x-coordinates and y-coordinates of the two points. By applying this formula to the given coordinates, we can find that:

• Side AB has a length of 3 units
• Side AC has a length of 6 units
• Side BC has a length of 3 units

These calculations allow us to compare the side lengths of the given answer choices to determine the similar triangle.