FINAL EXAMINATION in Math 2 (Fall 2024)

Front

What is the formula to find the length of the third side of a triangle when two sides and the included angle are known?

Back

Use the Law of Cosines: c^2 = a^2 + b^2 - 2ab * cos(C), where c is the length of the third side.

Front

What is the cosine of an angle in a right triangle?

Back

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, which can be used to prove two triangles are congruent.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, which can be used to prove two triangles are congruent.

Front

What does SSA stand for in triangle congruence?

Back

SSA stands for Side-Side-Angle, which cannot be used to prove two triangles are congruent.

Front

How do you round a number to the nearest hundredth?

Back

Look at the third decimal place: if it's 5 or more, round up the second decimal place by one; if it's less than 5, keep the second decimal place the same.

Front

What is the relationship between the sides and angles in a triangle?

Back

In a triangle, larger angles are opposite longer sides, and smaller angles are opposite shorter sides.

Front

What is the Law of Sines?

Back

The Law of Sines states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant: \( \frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)} \).

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): \( c^2 = a^2 + b^2 \).

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.