3/10 of a 10 sided polygon

Fractions of 10-sided Polygon

3/10 of a 10 sided polygon

4/10 of a 10 sided polygon

Fractions of 10-sided Polygon

4/10 of a 10 sided polygon

5/10 of a 10 sided polygon

Fractions of 10-sided Polygon

5/10 of a 10 sided polygon

6/10 of a 10 sided polygon

Fractions of 10-sided Polygon

6/10 of a 10 sided polygon

7/10 of a 10 sided polygon

Fractions of 10-sided Polygon

7/10 of a 10 sided polygon

8/10 of a 10 sided polygon

Fractions of 10-sided Polygon

8/10 of a 10 sided polygon

9/10 of a 10 sided polygon

Fractions of 10-sided Polygon

9/10 of a 10 sided polygon

10/10 of a 10 sided polygon

Fractions of 10-sided Polygon

10/10 of a 10 sided polygon

1/11 of a 11 sided polygon

Fractions of 11-sided Polygon

1/11 of a 11 sided polygon

2/11 of a 11 sided polygon

Fractions of 11-sided Polygon

2/11 of a 11 sided polygon

3/11 of a 11 sided polygon

Fractions of 11-sided Polygon

3/11 of a 11 sided polygon

4/11 of a 11 sided polygon

Fractions of 11-sided Polygon

4/11 of a 11 sided polygon

5/11 of a 11 sided polygon

Fractions of 11-sided Polygon

5/11 of a 11 sided polygon

6/11 of a 11 sided polygon

Fractions of 11-sided Polygon

6/11 of a 11 sided polygon

7/11 of a 11 sided polygon

Fractions of 11-sided Polygon

7/11 of a 11 sided polygon

8/11 of a 11 sided polygon

Fractions of 11-sided Polygon

8/11 of a 11 sided polygon

9/11 of a 11 sided polygon

Fractions of 11-sided Polygon

9/11 of a 11 sided polygon

10/11 of a 11 sided polygon

Fractions of 11-sided Polygon

10/11 of a 11 sided polygon

11/11 of a 11 sided polygon

Fractions of 11-sided Polygon

11/11 of a 11 sided polygon

1/12 of a 12 sided polygon

Fractions of 12-sided Polygon

1/12 of a 12 sided polygon

2/12 of a 12 sided polygon

Fractions of 12-sided Polygon

2/12 of a 12 sided polygon

3/12 of a 12 sided polygon

Fractions of 12-sided Polygon

3/12 of a 12 sided polygon

4/12 of a 12 sided polygon

Fractions of 12-sided Polygon

4/12 of a 12 sided polygon

5/12 of a 12 sided polygon

Fractions of 12-sided Polygon

5/12 of a 12 sided polygon

6/12 of a 12 sided polygon

Fractions of 12-sided Polygon

6/12 of a 12 sided polygon

7/12 of a 12 sided polygon

Fractions of 12-sided Polygon

7/12 of a 12 sided polygon

8/12 of a 12 sided polygon

Fractions of 12-sided Polygon

8/12 of a 12 sided polygon

9/12 of a 12 sided polygon

Fractions of 12-sided Polygon

9/12 of a 12 sided polygon

10/12 of a 12 sided polygon

Fractions of 12-sided Polygon

10/12 of a 12 sided polygon

11/12 of a 12 sided polygon

Fractions of 12-sided Polygon

11/12 of a 12 sided polygon

12/12 of a 12 sided polygon

Fractions of 12-sided Polygon

12/12 of a 12 sided polygon

An illustration of a straight line/segment.

Straight Line

An illustration of a straight line/segment.

An illustration of a curved line.

Curved Line

An illustration of a curved line.

An illustration of a broken line.

Broken Line

An illustration of a broken line.

An illustration of a straight line with a point.

Straight Line With Point

An illustration of a straight line with a point.

An illustration of a straight line with 5 points dividing it into 4 equal parts. Multiple of a given line.

Straight Line With Points Divided Into Equal Parts

An illustration of a straight line with 5 points dividing it into 4 equal parts. Multiple of a given…

An illustration of a plane angle with vertex E and sides EF and ED.

Plane Angle

An illustration of a plane angle with vertex E and sides EF and ED.

An illustration of angles with the same vertex made up of 4 lines.

Angles With Same Vertex

An illustration of angles with the same vertex made up of 4 lines.

An illustration showing when one straight line meets another straight line and makes the adjacent angles equal, each of these angles is called a right angle.

Right Angles With Same Vertex

An illustration showing when one straight line meets another straight line and makes the adjacent angles…

An illustration of two angles that are adjacent. They have the same vertex and a common side between them. Angles BOD and AOD are adjacent

Adjacent Angles

An illustration of two angles that are adjacent. They have the same vertex and a common side between…

An illustration showing a straight angle. When the sides of an angle extend in opposite directions, so as to be in the same straight line, the angle is called a straight angle.

Straight Angle

An illustration showing a straight angle. When the sides of an angle extend in opposite directions,…

An illustration showing an angle the is less than a right angle. This is an acute angle.

Acute Angle

An illustration showing an angle the is less than a right angle. This is an acute angle.

An illustration showing an angle the is greater than a right angle and less than a straight angle. This is an obtuse angle (solid curved arrow). The angle that is greater than a straight angle and less than two straight angles is called a reflex angle (dashed curved arrow).

Obtuse And Reflex Angles

An illustration showing an angle the is greater than a right angle and less than a straight angle. This…

An illustration showing acute, obtuse, straight, right, and reflex angles.

Acute, Obtuse, Straight, Right, And Reflex Angles

An illustration showing acute, obtuse, straight, right, and reflex angles.

Vertical angles are when two angles have the same vertex, and the sides of the one are prolongations of the sides of the other. In this illustration, a and b are vertical angles and c and d are vertical angles.

Vertical Angles

Vertical angles are when two angles have the same vertex, and the sides of the one are prolongations…

Illustration of complementary angles. Two angles whose sum is a right angle.

Complementary Angles

Illustration of complementary angles. Two angles whose sum is a right angle.

Illustration of supplementary angles. Two angles whose sum is a straight angle.

Supplementary Angles

Illustration of supplementary angles. Two angles whose sum is a straight angle.

Illustration of the superposition of two angles to compare magnitudes of the same kind.

Superposition of Angles

Illustration of the superposition of two angles to compare magnitudes of the same kind.

Illustration of supplementary angles. Two angles whose sum is a straight angle. This can be used tow show the Theorem: If two adjacent angles have their exterior sides in a straight line, these angles are supplementary.

Supplementary Angles

Illustration of supplementary angles. Two angles whose sum is a straight angle. This can be used tow…

Illustration of supplementary angles. Two angles whose sum is a straight angle. This can be used tow show the Theorem: If two adjacent angles are supplementary, their exterior sides are in the same straight line.

Supplementary Angles

Illustration of supplementary angles. Two angles whose sum is a straight angle. This can be used tow…

Illustration of two lines intersecting at a point. This can be used to show vertical angles.

Intersecting Straight Lines

Illustration of two lines intersecting at a point. This can be used to show vertical angles.

Illustration of two straight lines drawn from a point in a perpendicular to a given line, cutting off on the given line equal segments from the foot of the perpendicular, are equal and make equal angles with the perpendicular. This illustration can be used to show the proof.

Lines Drawn to Another Line to Form Triangle

Illustration of two straight lines drawn from a point in a perpendicular to a given line, cutting off…

Illustration showing only one perpendicular can be drawn to a given line from a given external point.

Perpendicular Line Drawn to a Given Line from an External Point

Illustration showing only one perpendicular can be drawn to a given line from a given external point.

Illustration showing that the perpendicular is the shortest line that can be drawn to a straight line from an external point.

Perpendicular Line Drawn To a Given Line From an External Point

Illustration showing that the perpendicular is the shortest line that can be drawn to a straight line…

Illustration showing two lines CA and CB drawn from the point C to the extremities of the straight line AB. OA and OB are two lines similarly drawn, but included by CA and CB. This can be used to show the theorem: The sum of two lines drawn from a point to the extremities of a straight line is greater than the sum of two other lines similarly drawn, but included by them.

Lines Drawn From the Point C to the Extremities of the Straight line AB

Illustration showing two lines CA and CB drawn from the point C to the extremities of the straight line…

Illustration showing two straight lines drawn from the same point in a perpendicular to a given line, cutting off on the line unequal segments from the foot of the perpendicular, the more remote is the greater.

Lines Drawn From the Same Point in a Perpendicular to a Given line, Cutting Off Segments

Illustration showing two straight lines drawn from the same point in a perpendicular to a given line,…

Illustration showing two straight lines in the same plane perpendicular to the same straight line are parallel.

Parallel Lines

Illustration showing two straight lines in the same plane perpendicular to the same straight line are…

Illustration showing if a straight line is perpendicular to one of two parallel lines, it is perpendicular to the other also.

Parallel Lines

Illustration showing if a straight line is perpendicular to one of two parallel lines, it is perpendicular…

Illustration showing that a transversal is a straight line that cuts two or more straight lines.

Lines Cut By A Transversal

Illustration showing that a transversal is a straight line that cuts two or more straight lines.

Illustration showing that if two parallel lines are cut by a transversal, then the alternate interior angles are equal.

Parallel Lines Cut By A Transversal

Illustration showing that if two parallel lines are cut by a transversal, then the alternate interior…