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Solution |
1) In a computer game, players get to design an amusement park. The location of each ride is
marked on a coordinate grid. Jocelyn wants the four rides shown in the table to be positioned at the
four corners of a rectangle. What should be the coordinates of the carousel?
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Method 1: Plot the points:
1. Plot the 3 points on this grid.
2. You should be able to locate the 4th grid point on this grid. = (10,6)
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Method 2:Use logic:
1. Notice that 2 of the points have the same X coordinate.
2. Notice that 2 of the points have the same Y coordinate.
3. The 4th point must have the same Y coordinate but a new X coordinate. The new point is (10,6).
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2) I am a quadrilateral. I can be divided into four congruent right triangles whose side lengths are 5
cm, 12 cm, and 13 cm. Draw what I could look like and compute my area.
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1. "Congruent" means all 4 right triangles are the same size and shape.
2. It really doesn't matter how you put them together to make a quadrilateral, the area will still be 4 times the area of the triangle.
3. Compute the area of the 13-12-5 triangle and multiply by 4
area =4 x (12 x 5)/2 = 4 x 6 x 5 = 120 sq. cm.
4. The figure to the left is one possible rectangle.
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3) Parallelograms MLKP and PKON are congruent. The measure of
angle MLK is 55o. What is the measure of angle LKP?
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1. Since the parallelograms are the same, that means that angle PKO is the same as MLK.
2. Angle PKO is supplementary with angle LKP.
(PKO + LKP = 180)
3. Angle LKP = 180 - 55 = 125 degrees.
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