Determine whether each statement is true or false. if true, explain your reasoning . If false provide a counter example.

1. The diagonals of a rectangle always form four congruent triangles.
2. A quadrilateral has perpendicular diagonals. Is this enough to determine what type of quadrilateral it is?
3. Explain why drawing a diagonal on any parallelogram will always result in two congruent triangles

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

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step-by-step explanation:

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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step-by-step explanation: