Foundations of Geometry
Names a location, but has no space.
What is a point.
What is the name of the theorem that states that if two angles and the included side of one triangle are congruent to the corresponding angles and included side of another triangle, then the triangles are congruent?
What is ASA
What are our 3 rigid transformations.
What is translation, reflection and rotation.
In a quadrilateral, if both pairs of opposite sides are ________, then it is a parallelogram.
What is congruent OR parallel
The point at which three perpendicular bisectors intersect in a triangle.
What is circumcenter?
lines in the same plane that never intersect.
What is Parallel?
Which triangle congruence theorem states that if all three sides of one triangle are congruent to the corresponding sides of another triangle, then the triangles are congruent?
What is SSS
If a figure is translated 3 units left and 3 units up which translation moves the image back to the original position?
What is 3 units right and 3 units down
In a quadrilateral, if both pairs of opposite sides are parallel, then it is a ____________.
What is a parallelogram
The point at which the three angle bisectors intersect in a triangle.
What is the incenter?
If the measures of two angles are 130 degrees and 40 degrees, the two angles are complementary, supplementary, or neither?
What is neither.
If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, which triangle congruence theorem can be used to prove the triangles congruent?
What is SAS
What quadrant has both x and y values as negative numbers.
Quadrant 3
In a quadrilateral, if one pair of opposite sides is ________ and _________, then it is a parallelogram.
What is parallel; congruent
The point at which the three medians intersect in a triangle.
What is a centriod?
This is the angle measure of the smallest angle when a right angle is bisected and then bisected again.
What is 22.5.
What is the name of the theorem that states if two angles and a non-included side of one triangle are congruent to the corresponding angles and non-included side of another triangle, then the triangles are congruent?
What is AAS
A "glide reflection" involves what two transformations?
What is A translation and reflection
In a quadrilateral, if __________ angles are congruent, then it is a parallelogram.
What is opposite
The point at which the three altitudes intersect in a triangle.
What is the orthocenter?
The solution to the equation 4y + 13 - y = 49
What is x = 12
What is the name of the theorem that states if two angles and a non-included side of one triangle are congruent to the corresponding angles and non-included side of another triangle, then the triangles are congruent?
What is AAS
Which transformation would change the x value to negative while keeping keeping the y values the same?
(x,y) > (-x,y)
What is a reflection across the y axis
If two consecutive angles in a quadrilateral are ____________, then it is a parallelogram.
What is supplementary
What line bisects the side of a shape at a 90 degree angle without touching the vertex?
What is a perpendicular bisector?