The distance from any point on a circle to the center is a constant called the radius. The length of any line segment from a point on a circle to the center of the circle is a constant called the radius. All radii of a circle are the same length.
A B C
A B C
Alternate interior angles are equal. Vertical Angles are equal. Alternate exterior angles are equal. Corresponding angles are equal.
A B C CA
A B C
A B C B A
Proposition 4. SAS Congruence Theorem If two triangles have two sides and the angle included (formed) by the sides equal, then the triangles are congruent. Remember: things that are congruent are equal, in every respect.
Proposition 5. Base angles of an isosceles triangle are equal.
Proposition: Bisect a given angle.
Propostion 8. SSS Congruence Theorem If two triangles have all three sides equal, then the triangles are congruent. Remember: things that are congruent are equal, in every respect.