Chapter 7 - Exercises

1-ENEM 2012
The rhombus represented in Figure 1 was constructed by connecting the centers of the four tangent circles. All these circles have the same radii measure.[br][br] 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[/img][br][br]Doubling the radius of two of the circumferences, which are centered on opposite vertices of the rhombus, and keeping the original configuration of the tangencies. When taking these steps a situation arises as illustrated by Figure 2. [br][br] 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[/img][br]The perimeter of the rhombus in Figure 2, when compared to the perimeter of the rhombus in Figure 1, increases by:
2-If ABCD is a trapezoid of bases AB and CD, determine [b]x[/b] and[b] y. [/b][b][br][br] [img]data:image/png;base64,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[/img][/b]
3-The median of a trapezoid measures 60 cm and the smallest base is [math]\ \frac{2}{3} [/math] the largest base. Determine the measurements of the bases.
4 (Dolce & Pompeu) In the following items, mark the correct alternatives:
5 (Dolce & Pompeu) - The sum of two opposite angles of a parallelogram is equal [math]\frac{5}{13}[/math] to the sum of the[br]other two opposite angles. Determine these angles.
6 (Dolce & Pompeu) - In a rectangular trapezoid, the angle bisector of a right angle connects with the bisector of the acute angle of the trapezoid. This forms an angle of 110º. Determine the largest angle of the trapezoid.
7- If the polygon ABCD is a square and the polygon BCE is an equilateral triangle, then x measures: [br] [img]data:image/png;base64,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[/img]
8 (Dolce & Pompeu) - The triangle ABC has sides AN = 9, BC = 14 and AC = 11. In this triangle the points D, E and F are midpoints of AB, AC and BC, respectively. Calculate the perimeter of the triangle DEF.
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Information: Chapter 7 - Exercises