zMath 180  - Unit 20: Using Coordinate Geometry
1) Find the missing ordered pair of a rectangle that has the three given vertices.

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2) Find the missing ordered pair of a rectangle that has the three given vertices.

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3) Find the missing ordered pair of a square that has the three given vertices.

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4) Find the missing ordered pair of an isosceles right triangle that has the two given vertices.

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Print out the figure below and determine where a fourth point T could be placed to make a parallelogram, and then answer the next three questions. (Note: Three different parallelograms can be formed depending on which quadrant point T is placed.)

5) Name the coordinates of point T, when placed in Quadrant I, that makes parallelogram QRST.

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6) Name the coordinates of point T, when placed in Quadrant II, that makes parallelogram QRTS.

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7) Name the coordinates of point T, when placed in Quadrant III, that makes parallelogram QTRS.

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8) Where would point T be placed in Quadrant I to make trapezoid QRST such that the non-parallel sides are congruent? State the coordinates of point T.

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9) Determine the area of the trapezoid in the previous problem. [Hint: A = (1/2)h(a + b)]

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10) Determine the area of the outer ring (red) of the circle. (a) What is the area of the outer ring? (b) Give an explanation of how to solve the problem.

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Refer to the drawing of a pair of parallel lines cut by a transversal to answer the next six problems.

11) List four pairs of vertical angles and write them as congruence statements. (Example: Angle 9 is congruent to angle 10.)

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12) List four pairs of corresponding angles and write them as congruence statements.

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13) List four pairs of angles that are supplementary

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14) List two pairs of alternate interior angles and write them as congruence statements.

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15) List four acute angles.

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16) List four obtuse angles.

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For the next seven problems, find the surface area or the volume. Label the answers correctly with square units or cubic units, whichever is appropriate.

17) Surface area of a square pyramid: base is 2 cm x 2 cm, slant height is 3 cm.

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18) Surface area of a cube: base edge is 4.2 cm

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19) Volume of a square prism: base area is 14 sq cm, height is 18 cm.

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20) Volume of a cylinder: base area is 14.1 sq cm; height is 16 cm.

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21) Volume of a triangular prism: base area is 14 sq cm; height is 10 cm.

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22) Volume of a cylinder: radius of 4 cm, height of 6 cm.

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23) Volume of a cone: radius of 4 cm, height of 6 cm.

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24) What is the perimeter of a square with an edge length of 3.5 centimeters?

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25) What is the perimeter of a rectangle that has a base of 4.2 centimeters and a height of 5.2 centimeters?

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26) What is the measure of an interior angle of a regular decagon?

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27) What is the measure of the exterior angle of a regular decagon?

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For the next two problems, refer to the chart below to convert the given measurements.

28) 10 pounds (lb) = ________ kilograms (kg) (Round the answer to the nearest tenth.)

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29) 3000 millimeters (mm) = __________ inches (in)

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30) Find the square root.

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31) Find the square root.

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32) Find the square root.

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33) Find the square root.

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34) Write the number in standard form.

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35) Write the number in standard form.

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36) On paper, draw the net for a cylinder. Describe the drawing by stating the names of the shapes and stating the number of each different shape.

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37) On paper, draw a net for a square pyramid on paper. Describe the drawing by stating the names of the shapes and stating the number of each different shape.

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38) Explain how a net helps when finding the surface area of a solid?

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39) A rectangular solid is built by stacking 1 x 1 x 1 cubes as shown in the figure. What is the total number of 1 x 1 squares that cover the six faces (surfaces) of the rectangular solid?

40) How many 1 x 1 x 1 cubes would it take to build the solid in the previous problem?

41) The cubes that are within the solid are white and not painted. How many 1 x 1 x 1 white cubes (sides all white) are inside the solid?

42) Which graph represents the solution to the given inequality? State the letter of the correct graph.

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