What is another name for a 90 degree angle?
Right Angle
Two lines that never intersect are called?
Parallel
True or False: Proven is a valid justification.
False: Proven is not a justification. Justification is required to distinguish knowledge from a guess that happens to be right and a justified belief that is supported by evidence. Think about the court system: Just because we think or guess that someone is guilty, unless we have proof, we will not be able to prove that they are.
Two angles whose measures have a sum of 90 degrees.
Complementary
What are angles that are in matching corners of the parallel lines called?
Corresponding Angles
Two angles that share a side but have no interior points in common?
Adjacent Angles
What goes first in a proof? What goes last?
The given statement goes first and what is being proven goes last.
What is the definition of supplementary?
Two angles whose measure have a sum of 180 degrees
What are the angles outside the parallel lines and on opposite sides of the transversal called?
Alternate Exterior
What are the angles on the inside of the parallel lines and on opposite sides of the transversal called?
Alternate Interior
What is the difference between a postulate and a theorem?
A postulate is a statement that true based on basic geometric principles. A theorem is a mathematical statement that can and must be proven to be true. Like the Pythagorean Theorem.
What do you call a line that cuts across two parallel lines?
Transversal
If →AG is a bisector of ∠KAH, find m∠KAG.
The measure of angle KAG = 45 degrees
What is the name for two adjacent, supplementary angles?
Linear Pair
What would the two-column proof look like for the given information below?
Angles which are opposite and congruent are called?
Vertical Angle
What are the angles on the inside of the parallel lines and on opposite sides of the transversal called?
Alternate Interior
What is the supplementary angle of 13 degrees?
167 degrees 180 - 13 = 167
How can substitution be used in this proof?