Tools of Geometry
Reasoning and Proof
Parallel and Perpendicular Lines
Congruent Triangles
Relationships Within Triangles
100
___________ is a reansoning that is based on patterns you observe.
What is Inductivce Reasoning.
100
Another name for an if-then statement is a _________.
What is Conditional.
100
A ________ is a line that intersects two coplanar lines at two distinct points.
What is Transversal.
100
___________ have congruent corresponding parts-their matching sides and ablges.
What is Congruent Polygons.
100
A ________ of a triangle is a segment conecting the midpoint of two sides.
What is Midsegment.
200
A conclusion you reach using reasoning is called a ________.
What is Conjecture.
200
The _______ of a conditional switches the hypothesis and the conclusion.
What is Converse
200
An __________ is an angle formed by a side and an extension of an adjacent side.
What is Exterior Anlge of a Polygon.
200
A ________ is a statement that folloes immediately from the theorem.
What is Corollary.
200
When three os more line intersect on one point, they are congruent. The points at which they intersect is the ___________.
What is Point of Concurrency.
300
POints that lie an the smane line are ________.
What is Ollinear points.
300
When a conditional and its converse are true, you can combine them as a true __________.
What is Biconditional.
300
A _________ is a closed figure with at least three sides that a congruent.
What is Polygon.
300
In a right triangle, the side opposite the right angle is the longest side and is called the __________.
What is Hypotenuse.
300
A _________ is a segment whose endpoints are a vertex and the midpoint of the oppostie side.
What is Median of a Triangle.
400
A _________ of a segment is a line, segment, or ray that is perpendicular to the segment at its midpoint, therby bisecting the segment into two congruent segments.
What is Perpendicular Bisector.
400
___________ is the process of reasoning logically from given statements to a conclusion.
What is Deductive reasoning.
400
A _________ hsa no diagnal with points outsinde the polygon.
What is Convex Polygon.
400
Once you have triangles congruent, you can make conclusions about their other parts because, by definition, sorresponding parts of congruent triangles are congruent. you can abbreviate this as ___________.
What is CPCTC.
400
The _______ of a statement has the opposite truth value.
What is Negation.
500
An _______ is a ray that divides an angle into two congruent coplanar angles.
What is Angle Bisector .
500
The ___________ allows you to state a conclusion from two true conditional staements when the conclusion of one statement is the hypothesis of the other statement.
What is Law of Syllogism.
500
For each exterior angle of a triangle, the two nonadjacent interior angles are its __________.
What is Remote Interior Angles.
500
The other two sides of a triangle are called ________.
What is Legs.
500
The _______ of a conditional statement negates both the hypothesis and the conclusion.
What is Inverse.
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