Terms
What is the process of showing that certain statements follow logically from agreed-upon assumptions and proven facts
What is Deductive Reasoning
All angles in a triangle add up to 180
What is the Triangle sum conjecture
3+7+(4-2)*5+13
What is 33
The third angle if one angle is 52 and the other is 55
What is 73
What is the probability of randomly selecting one of the shortest diagnols from all the diagnols in a regular decagon
What is 2/7
The generalization made as the result of inductive reasoning
What is a Conjecture
The sum of the lengths of any 2 sides of a triangle is greater than the length of the third side
What is the triangle inequality conjecture
(43-29)*5/2-7+13
what is 41
The third angle in a right triangle if one angle is 19
What is 71
If n concurrent lines divide the plane into 250 parts then n = _
What is 125
Circles that share the same center
What is Concentric Circles
If 2 sides and the included angle of one triangle are congruent to 2 sides and the included angle of another triangle, then the triangles are congruent
What is SAS conjecture
(14+5-3+7)8/4+3
What is 49
If the 1 of the base angles in a isosceles triangle is 39,then what is the vertex angle
What is 102
The number of stories in the tallest house you can build with 2 52 card decks if 1 story is 2 cards, 2 stories is 7 cards, and 3 stories 15 cards
What is 8
The line through three of the four points of concurrency of a triangle
What is Euler line
If 2 lines are cut by a transversal forming pairs of congruent corresponding angles, alternate interior angles, and alternate exterior angles then the lines are parallel
What is converse of the parallel lines conjecture
28*3+3-10+3*12/6
What is 82
The measure of the exterior angle if the 2 remote interior angles are 48 and 78
What is 126
Isosceles right triangle ABC has vertices A(-8,2), B(-5,-3), and C(0,0). Find the coordinates of the circumcenter.
(-4,1)
A collection of simple and useful statements about geometry accepted without proof
What are Postulates
In an isosceles triangle, the bisector of the vertex angle is also the median and the altitude to the base
What is the vertex angle bisector conjecture
(74-31+45*3-5)/2+2-9
What is 102
The measure of the fourth angle in a quadrilateral if three of the angles are 37, 98, 107
What is 118
Hyacinth is standing on the curb waiting to cross 24th Street. A half block to her left is Avenue J, and Avenue K is a half block to her right. Numbered streets run parallel to one another and are all perpendicular to lettered avenues. If Avenue P is the northernmost avenue, which direction (north, south, east, or west) is she facing
What is west