GMAT
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| 444926792 | how to eliminate answers on geometry questions | many geometry problems come complete with a diagram drawn to scale. Most people get so caught up in solving a geometry problem geometrically that they forget to look at the diagram to see whether the answer is reasonable. Simply using approximations size based on the diagram can help you eliminate answers. | |
| 444926793 | Basic tools to eliminate answers in geometry questions | memorize the following approximations: pie approximately equals 3 Square root of one equals one Square root of two approximately equals 1.4 Square root of three approximately equals 1.7 | |
| 444926794 | three-important notes on geometry problems | 1. Diagrams in questions the problem often format a bead on the scale unless otherwise indicated, but they are not all on the same scale . Diagrams marked not on the scale cannot be measured. In fact, the drawings of these problems often purposely misleading the I. 3. Drawings in questions using the data sufficiency format that are not drawn to scale. They cannot be estimated with your I were with you | |
| 444926795 | what should I do if there is no diagram? | Draw a diagram. The first thing you should do with any geometry problem that does not have a diagram is to sketch it out scratch booklet. And when you draw the diagram, try to brought scale that way be in a position to estimate. | |
| 444926796 | The 180° part one | when you see a geometry problem that asked about angles, always looked to see if angles add up one line which tells you that the will of the angles is 180°. This is often the starting point on the road the solution. The test writers like to construct problems in such a way that it is very easy to miss | |
| 444926797 | degrees and angles | there are 360 degrees in a circle an angle is formed when two line segments extend from a common point. If you think of that point is the center of the circle the measure of the angle is the number of degrees enclosed by the lions when they passed the edge of the circle. A line is just a 180° angle If a line is cut by another line each angle be aided will add up to 180° Two lines in the same plane are said to be parallel if they extend infinitely in both directions without touching. When two parallel lines are cut by a third line there appear to be eight different angle measurements but there are really only two. If two lines intersect in such a way that one line is per particular the other all the angles formed will be 90° angles. These are also known as right angle. | |
| 444926798 | What is a triangle? | A triangle is a three sided figure that contains three interior angles. The interior angles of a triangle always add up to 180° | |
| 444926799 | the 180° rule part two | when a question involving angles has a triangle or several triangles in it, remember that the interior angles of a tribal at up to 180°. Apply that rule in every possible way you can. It is the one of the things that the writers love to test most | |
| 444926800 | what is an equal lateral triangle? | An equilateral triangle has three sides that are equal in length. Because the angles opposite equal sides are also equal, all three angles in an equilateral triangle are equal | |
| 444926801 | what is an isosceles triangle? | An isosceles triangle has two sides that are equal in length. The angles opposite the two equal sides are also equal | |
| 444926802 | what is a right triangle? | A right triangle has one interior angle that is equal to 90°. The longest side of a right triangle the one opposite the 90° angle is called the hypotenuse | |
| 444926803 | everything else you need to know about triangles | 1 the sides of the triangle are in the same proportion as its angles. The longest side is opposite the largest angle. 2 one side of a triangle can never be longer than the sum of the lengths of the other two sides of a triangle, or less than their difference. 3 the perimeter of a triangle is the sum of of the lengths of its three sides 4 the area of a triangle is equal to height multiplied by base divided by two. By definition the base and eight must be perpendicular to each other 5 don't expect triangles to be right side up 6 in a right triangle the square of the hypotenuse equals the sum of the squares of the other two sides. This is called the Pythagorean theorem. | |
| 444926804 | More everything you need to know about triangles | 7 a right isosceles triangle always has proportions in the ratio side: side: side square root of two. 8 the second special right triangle is called the 30 6090 right triangle. The ratio between the lengths of the sides in a 30 6D 90 triangle is constant. If you know the length of any of the sides, you can find the lengths of the others.the ratio of the sides is always x: x times square root of 3:2 times x. | |
| 444926805 | what is a chord? | a chord is a line connecting any two points on a circle. | |
| 444926806 | what is the radius? | The distance from the center of a circle to any point on the circle is called radius | |
| 444926807 | what is the diameter? | The distance from one point on the circle through the center of the circle to another point on the circle. The diameter is equal to twice the radius. | |
| 444926808 | What is an arc? | And are is the rounded portion of a circle between points connected | |
| 444926809 | what is the area of a circle? | The area of a circle is equal to high or pi r squared | |
| 444926810 | what is the circumference? | these circumference is the length of the entire outer edge of the circle. It is equal to 2 pi r or or pi D | |
| 444926811 | what is a semi circle? | A circle cut in half by a diameter is called a semi circle | |
| 444926812 | what is and inscribed triangle? | A triangle is said to be inscribed inside a semi circle when one of its sides is the diameter of the circle itself, with the two other sides meeting at any point on the circle. A triangle inscribed inside a semi circle is always a right triangle. | |
| 444926813 | What is a quadrilateral? | A quadrilateral is a four sided figure. The perimeter of any four sided object is the sum of the lengths of its sides. | |
| 444926814 | What is a rectangle? | A rectangle is a quadrilateral whose for interior angles are equal to 90°. Opposite sides of a rectangle are always equal. The area of a rectangle is length times width. | |
| 444926815 | What is a square? | A square is a rectangle whose four sides are all equal in length. The perimeter of a square is there for just four times the length of one side. The area of a square is the length of one of its sides squared. | |
| 444926816 | What is a parallelogram? | A parallelogram is a quadrilateral in which the two pairs of opposite sides are parallel to each other and equal to each other, and in which opposite angles are equal to each other. A rectangle is a parallelogram. The area of a parallelogram equals base times height. | |
| 444926817 | What is the volume of the rectangular solid? | it is equal to the area of the rectangle times the depth of the solid. another way to think of it is length times width times depth | |
| 444926818 | what is the volume of a cube? | The volume of a cube is length times width times depth. in the case of a cube the length the width and depth are all the same so the volume of a cube is always the length of any side cubed | |
| 444926819 | what is the volume of a cylinder? | The volume of a cylinder is equal to the area of the circular base times the depth | |
| 444926820 | surface area of a solid | surface area is just the sum of the areas of all the two-dimensional outer surfaces of the object. For example the surface area of a rectangle or solid is the sum of the areas of the solids six bases. | |
| 444926821 | Coordinate geometry intro | a coordinate plane lets you plot outlines and objects in two dimensions. The resulting wine is called the X axis. The vertical line is called the Y axis. The axes divide the plane into four quadrants. every point on the plane has an ordered pair of numbers X, Y that described it. You simply just count over to get the points | |
| 444926822 | what is the equation of a line? | Any straight line on this plane can be described by the equation Y equals MX + B where B is the Y intercept, the point at which the line crosses the Y access, and letter M is the slope of the line and letter acts and Y are the coordinates of some point on that line. Slope is the measure of steepness of the line, and defines whether the line is diagonal, horizontal, or vertical, and to what degree | |
| 444926823 | how do you calculate slope? | Slope equals the difference in the Y coordinate divided by the difference in the X coordinates |
