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Name:_____________________________ Date:__________
MCAS Math – Geometry/Measurement (Set 4): you can use a calculator. Show all your work. No work means no credit. Remember to draw pictures to help you solve these!
1. A polygon was drawn on a piece of paper. -Each of its interior angles has the same measure.
-The sum of the measures of its interior angles is 360°.
Which of the following could be the polygon?
A. a rectangle B. a regular hexagon
C. a regular pentagon D. an equilateral triangle
2. The diagram here shows the side view of a house.
The base of its roof is 4 meters above ground level.
Point P is the highest point on the roof. Based on the
diagram, what is the distance from P to ground level?
A. 6 m B. 7 m
C. 10 m D. 13 m
3. The lengths of three sides of a triangle are 5, 9, and x, all measured in centimeters.
What are all possible values of x?
A. 4 [pic]x [pic]14 B. 0 [pic]x [pic]14 C. 5 [pic]x [pic]15 D. 3 [pic]x [pic]9
4. Each of the two interior supports for part of a roof is
perpendicular to a rafter, as shown here. What is x, the
measure, in degrees, of the angle formed by the two
interior supports?
A. 50 B. 65 C. 90 D. 130
5. Using the measures shown in the sketch, what is the
length of the section of the ladder from the point where
it rests on the ground to the point where it touches the house?
A. 4.8 ft B. 7 ft
C. 17 ft D. 23 ft
6. The diagram here shows the location of [pic]on a
coordinate plane. Suppose that [pic]is rotated 180°
clockwise about the origin. What are the coordinates
of the image of point E?
A. (-2, -4) B. (-4, -2)
C. (4, -2) D. (-4, 2)
7. A cup in the shape of a cone has a height of 8 units and a radius
of 4 units as shown in the figure below. The water in the cup reaches
a height of 5 units. What is the value of r, the radius of the surface
of the water?
A. 1.6 units B. 2.5 units
C. 6.4 units D. 10.0 units
8. When a map of the Caribbean Sea is placed on a grid, Island A is represented by A (2, 1), and Island B is represented by B (6, 4). Graph and label these points on the grid in your Student Answer Booklet.
a. What is the length of line segment [pic]on the grid? Show or explain how you got your answer.
b. If each unit on the grid represents 12 actual miles, what is the shortest distance in miles from Island A to Island B? Show or explain how you got your answer.
c. On the same map and grid, Island C is represented by C (2, 3). Graph point C on the same grid used in part a. What is the least possible number of miles in a complete round trip of the three islands? (From A to B to C and back to A). Show or explain your answer.
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