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– THE SAT MATH SECTION – An isosceles triangle has two sides congruent and two angles opposite

– THE SAT MATH SECTION – An isosceles triangle has two sides congruent and two angles opposite these sides congruent. So, both statements are true. The answer is choice a. 9. b. One way that you could find your answer is to substitute the values of x and y into each equation. The equation that is true in each five cases is the answer. The method of doing this is shown below. Choice a: Coordinate 1: (0,2) y=x+2 2=0+2 2 = 2 (True) Coordinate 2: (1,3) 3=1+2 3 = 3 (True) You may think, at this point, choice a is the. | THE SAT MATH SECTION An isosceles triangle has two sides congruent and two angles opposite these sides congruent. So both statements are true. The answer is choice a. 9. b. One way that you could find your answer is to substitute the values of x and y into each equation. The equation that is true in each five cases is the answer. The method of doing this is shown below. Choice a y x 2 Coordinate 1 0 2 2 0 2 2 2 True Coordinate 2 1 3 3 1 2 3 3 True You may think at this point choice a is the answer but you should try the third coordinate. Coordinate 3 2 6 6 2 2 6 4 False Therefore by trying all the points you can see that choice a is not the answer. Choice b y x2 2 Coordinate 1 0 2 y x2 2 2 02 2 2 2 True Coordinate 2 1 3 y x2 2 3 1 2 2 3 1 2 3 3 True Coordinate 3 2 6 y x2 2 6 2 2 2 6 4 2 6 6 True Coordinate 4 3 11 y x2 2 11 3 2 2 11 9 2 11 11 True At this point you may believe that choice b is the answer. You should check in order to be sure. Coordinate 5 4 18 y x2 2 18 4 2 2 18 16 2 18 18 True Therefore all the coordinates make equation b true. The answer is choice b. 10. d. You have to solve for the variable x so you need to get x by itself in the problem. Therefore eliminate the other terms on the same side of the equation as x by doing the inverse operation on both sides of the equal sign. This is demonstrated below first add 2 to both sides bx - 2 K 2 2 bx K 2 Next you have to divide both sides by b. bx_ K 2 b b x . The answer is choice d. 11. b. You should remember that the formula for the slope of a line is equal to the change in the y-coordinate m . . . the change in the x-coordinate You should also remember the formula m y y1 x2- x1 If you look at the graph you will see that the line crosses through exactly two points. They are Point 1 0 2 Point 2 3 0 Now all you have to do is substitute the values of point 1 and point 2 into the formula for slope. x1 0 y1 2 x2 3 y2 0 _ 0-2 _ 2 m Bo or 3 The answer is choice b. 161 THE SAT MATH SECTION 12. a. This .