Geometry Chapter 4 Unit Assessment Review - 8th Period

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem used to prove that two triangles are congruent if two angles and the included side are equal.

Front

What is the first statement in the reason column of a proof?

Back

The first statement is 'Given', which indicates the information provided in the problem.

Front

What is the significance of triangle congruence theorems?

Back

Triangle congruence theorems (like AAS, SAS, ASA, and HL) are used to determine if two triangles are congruent based on their sides and angles.

Front

How do you denote triangle congruence?

Back

Triangle congruence is denoted using the symbol '≅', for example, ⊿ABC ≅ ⊿DEF means triangle ABC is congruent to triangle DEF.

Front

What is the purpose of a proof in geometry?

Back

The purpose of a proof is to provide a logical argument that demonstrates the truth of a geometric statement or theorem.

Front

What does the term 'congruent' mean in geometry?

Back

In geometry, 'congruent' means that two figures have the same shape and size.

Front

How would you name a triangle congruent to triangle XYZ?

Back

You can name it Triangle XWZ, Triangle ZWX, or any other combination that maintains the order of the vertices.

Front

What is the HL theorem in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem used to prove that two right triangles are congruent if the hypotenuse and one leg are equal.

Front

What is the difference between SAS and AAS?

Back

SAS (Side-Angle-Side) requires two sides and the included angle to be equal, while AAS (Angle-Angle-Side) requires two angles and a non-included side to be equal.

Front

What is the formula to solve for x in a triangle?

Back

The formula varies based on the triangle's properties, but often involves using the sum of angles in a triangle (180 degrees) or the Pythagorean theorem.