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For the problems in this unit, round the answers to the nearest tenth, when necessary, and label the answers properly. |
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| 3)
Complete the following statement about corresponding triangles. If two triangles are similar, then their corresponding angles are __________ and their corresponding sides are __________. |
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| 5)
What type of triangle is shown below in the structure of the Rock and Roll Hall of Fame? (The triangle is enhanced by the dotted (red) lines)? |
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| Polygons and Quadrilaterals |
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| 7)
In a wasp’s nest, what polygon is found throughout its structure? |
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| 8)
A REGULAR heptagon is shown in the figure below. What is the measure of each interior angle and the exterior angle? The angles are rounded to the nearest whole number, when necessary. |
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Refer to the information shown below as a guide for the next two problems. |
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| 9)
The first term and the common difference of an arithmetic sequence are given below. What are the first five terms of the sequence? |
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| 11)
Print out the figure below and translate parallelogram ABCD with vertices A(1, 1), B(2, 4), C (5, 4), and D(4, 1) according to the given translation. Name the image, parallelogram A'B'C'D'. State the vertices and coordinates of parallelogram A'B'C'D'. |
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| 12)
True or False. The line of symmetry in the given reflection is the x-axis. |
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| 13)
Draw the given quadrilateral on graph paper, and then perform the two translations. If the two translations were performed as a single translation, describe the movements that would be made.
Quadrilateral ABCD has vertices A(–4, –5), B(–3,2), C(2,3), and D(1,–3)
First translation: (x, y) ==> (x + 1, y – 4)
Second translation: ((x, y) ==> (x –3, y + 6
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Perimeter, Circumference, and Area |
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| 20)
The given figure is a “net” of a rectangular prism (box) that has been unfolded and lain flat. The green rectangles represent the bottom and the lid of the box. The brown rectangles represent the sides of the box. Each square is one unit in length. What is the surface area of the prism? |
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| 21)
A mailbox is composed of a HALF cylinder and a rectangular prism as shown below. What is the surface area of the mailbox (include the bottom of the mailbox)? |
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| 29)
How many smaller cubes will fit inside the larger cube? |
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Pythagorean Theorem and Right Triangles |
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| 34)
The point (red) on the number line in the given figure denotes the location what irrational number? |
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Right Triangle Trigonometry |
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Refer to given triangle below to answer the last three questions. |
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| 38)
State a ratio in terms of “r”, “s”, and/or “t”, for the following trigonometric functions: (a) sin R, (b) cos R, and (c) tan R. |
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| 39)
If t = 60, r = 11, and s = 61, what is (a) the sin R, (b) the cos R, and c) the tan R? State each answer rounded to the nearest ten thousandth. |
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| 41) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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