Geometry QA#2 Review

Front

What is a counterexample?

Back

A counterexample is an example that disproves a statement or proposition. For instance, if a statement claims that all even numbers are divisible by 4, the number 2 serves as a counterexample.

Front

What does it mean for a triangle to be classified as 'Right'?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What does it mean for a triangle to be classified as 'Scalene'?

Back

A scalene triangle is a triangle in which all three sides are of different lengths.

Front

What is the AAS triangle congruence theorem?

Back

The AAS (Angle-Angle-Side) theorem states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Front

What is the SAS triangle congruence theorem?

Back

The SAS (Side-Angle-Side) theorem states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What is the ASA triangle congruence theorem?

Back

The ASA (Angle-Side-Angle) theorem states that if two angles and the included side of one triangle are equal to two angles and the corresponding included side of another triangle, then the two triangles are congruent.

Front

What is a counterexample to the statement: If you add two numbers, then the sum is odd?

Back

A counterexample is 2 + 4 = 6, which is an even number.

Front

If angle 2 is 70 degrees, what is the measure of angle 1 if they are supplementary?

Back

Angle 1 is 110 degrees, since supplementary angles add up to 180 degrees.

Front

What is the definition of an obtuse triangle?

Back

An obtuse triangle is a triangle that has one angle measuring more than 90 degrees.

Front

What is the definition of an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length and all three angles are equal, each measuring 60 degrees.