Thinking and Reasoning Geometrically
Using Tools of Geometry
Discovering & Proving Triangle Properties
Polygon Properties
Vocab
100
This is the process of observing data, recognizing patterns, and making generalizations about those patterns...
What is Inductive Reasoning?
100
This tool is used to draw a perfect circle.
What is a compass.
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
This formula is used to find the sum of the measure of the interior angles of a polygon
What is (n-2)180
100
The measure of a semicircle is...
What is 180.
200
2000, 1000, 500, 250, 125, and this next number...
What is 62.5.
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
The sum of the exterior angles of a 20-gon measure...
What is 360 degrees.
200
If two lines are parallel and cut by a transversal, the alternate exterior angles are...
What is congruent.
300
If two angles form a linear pair, then the angles are supplementary or add up to this measurement...
What is 180 degrees.
300
This is the segment connecting the vertex of a triangle to the midpoint of its opposite side...
What is a median.
300
A triangle with side lengths 4 cm, 5 cm, and 9 cm is (possible or impossible) to draw...
What is impossible.
300
Each interior angle of a regular hexagon has this angle measure...
What is 120 degrees.
300
These are two special attributes of an iscosceles trapezoid...
What is two congruent sides and each pair of base angles are congruent.
400
These are two attributes of a rhombus.
What are opposite sides parallel and four congruent sides.
400
Two lines that form a 90 degree angle where they intersect are considered...
What is perpendicular.
400
These triangle congruence shortcuts do not prove triangles congruent...
What is Angle-Angle-Angle (AAA) and Side-Side-Angle (SSA).
400
These angles of a trapezoid are supplementary...
What are consecutive angles.
400
These are three undefined building blocks of geometry.
What are point, line, plane.
500
Angles A and B are complementary. Them measure of angle A = 25. Find the measure of angle B is this type of reasoning...
What is Deductive Reasoning.
500
Two angles that add up to 90 degrees are known as...
What is complementary.
500
Name two ways to describe a triangle with angles 100 degrees, 30 degrees, and 50 degrees.
What is obtuse and scalene.
500
The midsegment of a triangle has these two relationships with its third side...
What is parallel and half the length.
500
In an iscosceles triangle, there are two base angles and one angle known as...
What is the vertex angle.
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