Show:
Our Geometric Beginnings
Reasoning and Proof
To Cross or Not To Cross?
Are They Congruent?
Relationships Within
100
This is a pair of angles that sum to 90 degrees.
What are complementary angles?
100
An angle is always congruent to itself because of this property.
What is the reflexive property of congruence?
100
This pair of lines are coplanar and do not intersect.
What are parallel lines?
100
This short cut for showing two triangles are congruent does not exisit, ASA, HL, SAS, AAS, SSA, or SSS.
What is SSA?
100
This is the point of concurrency of the angle bisectors.
What is the incenter?
200
This is a pair of adjacent and supplementary angles.
What is a linear pair?
200
The property demonstrated here: x+7 = 2, x = -5.
What is the subtraction property of equality?
200
If a transversal intersects two parallel lines, this type of angle pair is supplementary.
What are same-side interior angles?
200
If the legs of a triangle are congruent, this additional information is also known about the triangle.
What is the base angles are also congruent.
200
This center is equidistant from the vertexes of a triangle.
What is the circumcenter?
300
A drawing done with a compass and a straightedge.
What is a construction?
300
A counterexample for the statement, all rectangles are squares.
What is a rectangle with two different side lenghts?
300
This is the measure of the third angle of the triangle if one angle measures 20 degrees and the other measures 140 degrees.
What is 20 degrees?
300
Vertex angle, base angles, base, and legs are all terms that describe this object.
What is an isoscele triangle?
300
This is a segment that joins the midpoints of two sides of a triangle.
What is the midsegment?
400
The area of a circle in terms of pi with a diameter of 2.
What is pi?
400
A conclusion you reach using inductive reasoning.
What is a conjecture?
400
This pair of lines are non-coplanar and do not intersect.
What are skew lines?
400
This is located across from the right angle in a right triangle.
What is the hypotenuse?
400
This is the first step of an indirect proof to show that measure of angle A plus the measure of angle B equals 90.
What is to assume the measure of angle A plus the measure of B does not equal 90.
500
Two coplanar angles that have a common side and a common vertex but no common interior points.
What are adjacent angles?
500
The sum of the first 100 even numbers.
What is 10,100?
500
The equation in point-slope form that is parallel to y = 2x-4 and goes through (2,1).
What is y-1=2(x-2)?
500
This is a pre-req for using CPCTC.
What are congruent triangles?
500
This is how to test if 3 lengths can form the three sides of a triangle.
What is the sum of 2 of the lengths must always be greater than the 3rd length.