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MEAP Preparation - Grade 7 Mathematics
4.12 Geometry Review

  • A point is simply a location.
  • A line is made up of points and has no thickness or width. Points on the same line are said to be collinear.
  • A plane is a flat surface made up of points. Points that lie on the same plane are said to be coplanar. A pane has no depth and extends infinitely in all directions.
  • Points are often used to name lines and planes.
  • Midpoint of a line segment is the point on the segment that divides the segment into two congruent segments. If B is the midpoint of line AC, then AB = BC.
  • Ray is part of line. It has one endpoint and extends indefinitely in one direction.
  • Angle is formed by two non collinear rays that have a common endpoint. The rays are called sides of the angle. The common endpoint is the vertex.
  • An angle divides a plane into three distinct parts: points on the angle, interior of the angle and exterior of the angle.
  • Kinds of Angles:
    1. Acute Angle: An angle whose measure is less than 90 degrees and greater then zero degrees is called an acute angle.
    2. Right Angle: An angle whose measure is 90 degrees is called right angle.
    3. Obtuse Angle: An angle whose measure is greater than 90 degrees and less than 180 degrees is called obtuse angle.
    4. Straight Angle: An angle whose measure is 180 degrees called a straight angle.
    5. Reflex Angle: An angle whose measure is greater than 180 degrees and less than 360 degrees is called a reflex angle.
    6. Complete Angle: An angle whose measure is 360 degrees is called a complete angle.
    7. Zero Angle: If the measure of an angle is zero it is called a zero angle.
  • Complementary Angles: Two angles are said to be complementary if the sum of their measure is 90o.
  • Supplementary Angles: Two angles are said to be supplementary if the sum of their measure is 180o.
  • Adjacent Angles: Two angles in a planes are called adjacent angles, if they have a common vertex, a common side, and their interiors do not have a common point. Angles 1 and 2 below are adjacent angles.
  • Adjacent Angles: Two angles in a planes are called adjacent angles, if they have a common vertex, a common side, and their interiors do not have a common point. Angles 1 and 2 below are adjacent angles.
  • Linear Pair of Angles: A pair of adjacent angles formed by intersecting lines is called a Linear Pair of Angles.
  • Vertically Opposite Angles: When two lines intersect, then the angles that are opposite one another at the intersection are called Vertically Opposite Angles. The measures of the vertically opposite angles are equal.

Directions: For each of the above points draw an explain in your own words. Choose the correct answers.
Q 1: The number of lines that can be drawn through a point:
One
Three
Infinite
Two

Q 2: How many points are required to determine a line segment?
Two
Infinite
Three
One

Q 3: A simple closed figure bounded by line segments is called:
Polygon
Triangle
Linear pair
Circle

Q 4: Non-intersecting coplanar lines are called:
Concurrent lines
Parallel lines
Linear pair.
Transversal lines

Q 5: A figure formed by the union of two rays having the same initial point is called:
Intersecting lines
Concurrent lines
Angle
Parallel lines

Q 6: The number of radii that can be drawn to a circle:
Two
Unlimited
Three
One

Q 7: A part of a line that has only one initial point and extends indefinitely in one direction only is called:
Ray
Curved line
Line
Line segment

Q 8: If a transversal intersects two parallel lines, a pair of corresponding angles are:
Supplementary
Equal
Not equal
Complementary

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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