Question

If you choose equilateral equilateral triangle rotations to prove essays congruence use the coordinates of irritation to show that two triangles are congruent by the SAS prostitute you can use the distance formula to show congruency from the side of an angle is congruent to a corresponding angle you can use slope or compass and a straight edge.

Options:
a. Coordinates of irritation
b. Distance formula
c. SAS prostitute
d. Slope and compass

Answer 1

The student is referencing methods to prove triangle congruence, specifically using the SAS Postulate with distance formula and slope. In right triangles, congruency can also be shown using the Pythagorean theorem or trigonometric functions like cosine with consistent, reliable results.

Step-by-step explanation:

The student is asking about ways to prove that two triangles are congruent in geometry. One method involves using the SAS Postulate, which states that if two sides and the angle between them in one triangle are congruent to two sides and the angle between them in another triangle, then the triangles are congruent. To demonstrate this using coordinates, you can employ the distance formula to show that the two sides are congruent, and use the concept of slope to show that the angle between them is congruent, since slope can indicate the direction and the angle of the line.

For instance, in the context of a right triangle, if we know the lengths of two sides (x as the adjacent side and y as the opposite side), we can use the Pythagorean theorem, a² + b² = c², to find the length of the hypotenuse (c). Similarly, if we know one side and the cosine of the corresponding angle, we can calculate the hypotenuse using trigonometric functions. Both methods are based on consistent mathematical principles, ensuring that they yield the same results as long as they are applied correctly.