Geometry( Week 35 Evaluation) 1. An equilateral triangle is a triangle with all sides of equal length. An isosceles triangle is a triangle with two sides of equal length. A right triangle is a triangle with an internal angle at 90°. Below are examples of an equilateral triangle, an isosceles triangle and a right triangle. 
Could a right triangle also be an isosceles triangle? 2. The perimeter of a square is 48 inches. What is its area (in square inches)? 3. The circumference of a tire is 91 inches. How many complete turns will the tire roll in one mile (1 mile = 63,360 inches) on the ground? 4. Rectangular cards, 2 inches by 3 inches, are cut from a rectangular board 3 feet by 1 foot. What is the greatest number of cards that can be cut from the board? 5. A rectangle region of (3 feet)x(2 feet) is covered with rectangle tiles of (1 inch)x(4 inches). How many of these tiles are needed? 6. The area of a rectangle is 45 square meters. The length is 4 meters longer than the width. What is the perimeter (in meters) of the rectangle? 7. The length of a bigger square is 3 times of the length of a smaller square. If the sum of their perimeters is 64 centimeters, what is the length (in centimeters) of the bigger square? 8. A cube has a volume of 125 cubic feet. What is the length of each side of the cube in feet? 9. If different points X, Y, and Z are sitting on a line with XY = YZ, which of the following must be true?
I. Y is the midpoint
II. ZX = 2YZ
III. ZY = 2XZ 10. There are 12 triangles. Each triangle has exact one shared side with another triangle. How many sides are there in total? |