Geometry (1)( Week 7 Evaluation) 1. The length of a rectangle is 7 less than 3 times the width. If the perimeter is 186 feet, what is the area (in square feet)? 2. A quadrilateral is a polygon with four sides. A trapezoid is a quadrilateral with only one pair of parallel sides. A parallelogram is a quadrilateral with two pairs of parallel sides. A rectangle is a quadrilateral with four right angles. A rhombus is a quadrilateral with four sides of equal length. A square is a quadrilateral with all four sides of equal length and four right angles. 
Is a trapezoid always a parallelogram? 3. The following shape contains 15 identical squares. The area of the shape is 135 square feet. What is the perimeter (in feet) of the shape? 4. The base of a triangle is 6 inches and its height is 4 inches. If a vertical line is drawn from the top to the base, the line intersects the base 2.8 inches from one corner and forms two new triangles. What is the area difference (in square inches) of the two new triangles? 5. A rectangle's length is 4 times of its width. If its area is 256 square feet, what is the length of the rectangle (in feet)? 6. There are two equal sides in a triangle ABC. ∠A = 70°, what is ∠B in degrees? 7. In the triangle ABC, BD bisects ∠ABC. What is the sum of u + v in degrees if ∠BAC = 47°, and ∠BDC = 69°. Note the diagram might not be drawn to scale and all the units are in degrees(°).
8. ABC is a right triangle. AD bisects ∠BAC and CE bisects ∠ACB. If ∠ECD = 7°, what is the degree measure of ∠DEC? Note that the diagram might not be drawn to scale.
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What is the perimeter of the figure above? 10.
In the above figure, three rectangles are drawn along the three sides of the triangle ABC, each with a width 4. If the total area of the three rectangles is 192, what is the perimeter of the triangle ABC? (Note that the figure is not drawn to scale). |