Geometry Fall Test 3

Front

What is the first step in solving for x in a triangle when given the sum of angles?

Back

Subtract the known angle from 180 degrees, then divide by the number of remaining angles.

Front

What is the measure of each angle in an isosceles triangle if the vertex angle is 60 degrees?

Back

Each base angle measures 60 degrees.

Front

How do you solve for x in a triangle when given two angles?

Back

Use the triangle sum theorem: x = 180 - (angle1 + angle2).

Front

What does the letter 'D' represent in triangle congruence?

Back

It typically represents a specific point or vertex in a triangle.

Front

What postulate can be used to prove that two triangles are congruent if two angles and the included side are known?

Back

ASA (Angle-Side-Angle) Postulate.

Front

What is the Triangle Sum Theorem?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

What is the definition of congruent triangles?

Back

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

Front

What is the difference between acute, obtuse, and right triangles?

Back

Acute triangles have all angles less than 90 degrees, obtuse triangles have one angle greater than 90 degrees, and right triangles have one angle equal to 90 degrees.

Front

What is the formula for finding the area of a triangle?

Back

Area = 1/2 * base * height.

Front

What is the significance of the Pythagorean theorem in right triangles?

Back

It states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.