Foundations of Geometry
A flat surface with no height that extends infinitely.
What is a plane
Describe parallel lines.
What are the four transformations?
What is translation, rotation, reflection, and dilation
If two triangles are congruent it means that all ______________ and all _______________ are congruent.
What is corresponding angle pairs & corresponding sides
What are angle relationships?
What is, if you know the measures of two angles, you can predict the measure of the third
Two planes that will never intersect
What is parallel planes
Describe perpendicular lines.
What is lines that intersect at a right angle (90 degrees)
Moves each point in a figure the same distance in the same direction
What is Translation
When two triangles have two pairs of sides and their ___________, the triangles are congruent.
What is included angles congruent
What is an altitude?
What is a line segment in a triangle from a vertex and perpendicular to the opposite side; the height of the triangle
Two or more points that belong to a plane
Coplanar
Two non-vertical lines that are in the same plane and have the same slope.
What is Parallel Lines
Takes each point in a figure and rotates it a certain number of degrees around a given point
What is Rotation
Angle-Side-Angle (ASA) is a _________________ .
What is Triangle Congruence Postulate
What is a median?
What is a line segment that joins a vertex and the midpoint of the opposite side
Three or more points that belong to a line
Collinear
How many perpendicular lines are there?
What is 2
Used to resize the object
What is dilation
Angle "A" is congruent to angle "Y", angle "B" is congruent to angle "Z", "AC" is congruent to "XY".
Prove: Triangle ABC is congruent to YZX
1. Angle A is congruent to Y, angle B is congruent to Z, AC is congruent to XY
2. Angle C is congruent to angle X
3. Triangle ABC is congruent to YZX
What is
1. Given
2. Third Angle Theorem
3. ASA
What is the angle bisector theorem?
What is BD bisects < ABC, BE T ED, and BF T DF, then ED = DF