Definitions
The definition of a point
What is that which has no part?
Postulate 1
What is "to draw a straight line from any point to any point"?
In ______________, the angles at the base are equal to one another, and the angles under the base are equal to one another.
What are isosceles triangles?
If two circles cut one another, then they do not __________.
What is "have the same center"?
To cut something in half
What is bisect?
The definition of a line
What is breadthless length?
Postulate 3
What is "to describe a circle with any center and distance"?
If in a triangle two angles equal one another, then _______________.
What is "the sides opposite the equal angles also equal one another"?
A circle does not touch a circle at more than _______ point(s).
What is one?
When each side of the figure touches the circumference of the circle
What is a figure circumscribed about a circle?
The angle which, when a point is taken on the circumference of the segment and straight lines are joined from it to the ends of the straight line which is the base of the segment, is contained by the straight lines so joined.
What is an angle in a segment?
Common Notion 3
What is "if equals are subtracted from equals, then the remainders are equal"?
If a straight line standing on a straight line makes angles, then they make ____.
What are two right angles or angles equal to two right angles?
Of straight lines in a circle ___________ is greatest.
What is the diameter?
In a circle, the angle in _____________ is right.
What is a semicircle?
The figure contained by a straight line and the circumference of a circle
What is a segment?
Common Notion 5
What is "the whole is greater than the part"?
In any triangle, if one side is produced, then the exterior angle is greater than either of the ______________.
What are interior and opposite angles?
In equal circles, equal angles stand on ____________.
What are equal circumferences?
Its ends are on the circumference of a circle
What is a line fitted into a circle?
What is a plane figure contained by one line such that all the straight lines falling upon it from one point among those lying within the figure equal one another?
Postulate 5
What is "if a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles"?
In any parallelogram, the __________ of the parallelograms about the diameter are equal to one another.
If a straight line touches a circle, and from the point of contact a straight line is drawn at right angles to the tangent, then ___________ will be on the straight line so drawn.
What is the center of the circle?
If a straight line falling on two straight lines makes the _________ equal to one another, then the straight lines are parallel to one another.
What are alternate angles?