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Thinking and Reasoning Geometrically
Using Tools of Geometry
Discovering & Proving Triangle Properties
Transformation Properties
Definitions
100
This is the process of observing data, recognizing patterns, and making generalizations about those patterns...
What is Inductive Reasoning?
100
Using a compass and a straightedge rather than relying on measurements to create geometric shapes and relationships is called this...
What is a geometric construction.
100
The triangle sum conjecture states that the sum of the measures of the angles in every triangle is this...
What is 180 degrees.
100
A composite reflection over two parallel lines is equivalent to this transformation

What is a Translation

100

A statement that is accepted as a fact

What is a postulate?

200
2, 4, 7, 11, and this next number...
What is 16.
200
This is a line that divides a line segment into two congruent parts and meets the line segment at a 90 degree angle...
What is perpendicular bisector.
200
The base angles in this type of triangle are congruent...
What is an Isosceles Triangle.
200

For this transformation, change the signs of both the x and y coordinates.

What is the rule for a 180 degree rotation

200
Angles that share a common vertex and side, but no common interior points?

Who are adjacent angles?

300
If two angles form a linear pair, then the angles are supplementary or add up to this measurement...
What is 180 degrees.
300
A geometric tool used to draw arcs and circles.

What is a compass?

300

A triangle that follows the rule a2+b2=c2 for its side lengths.

What is a right triangle?

300

When a figure can rotate less than 180 degrees and map onto itself, it has this type of symmetry

What is rotational symmetry?

300
Lines that intersect and form four right angles.

What is perpendicular lines?

400
This is the slope formula...
What is (y2 - y1)/(x2-x1).
400

A ray that divides an angle into two congruent angles

What is an angle bisector?

400
These triangle congruence shortcuts do not prove triangles congruent...
What is Angle-Angle-Angle (AAA) and Side-Side-Angle (SSA).
400

A transformation that preserves both lengths and angle measures.

What is a rigid motion?

(Or, What is an isometry?)

400

A conjecture that must be proven using previously known information

What is a theorem?

500

If two angles are complementary then they add to 90.  Angles A and B are complementary. 

Drawing a conclusion from this, is based on this type of reasoning. 

What is deductive reasoning.

500
In the coordinate plane, two lines are perpendicular when their slopes are this...
What is opposite (or negative) reciprocals.
500

A theorem that states that if two angles are a linear pair, then they are supplementary.

What is the linear pair theorem?

500
Two or more transformations, performed in the opposite order in which it is written.
What is a composite transformation?
500
Lines that are in the same plane and do not intersect.

What are parallel lines?