Math II - 2 Week 4 Lesson 4.6, 4.7, 4.8

Front

What is the formula for the sum of the angles in a triangle?

Back

The sum of the angles in a triangle is always 180°.

Front

If the sides of a triangle are represented as 5x + 2 and 12, how do you find the value of x?

Back

Set up the equation: 5x + 2 = 12. Solve for x to find x = 2.

Front

In triangle ABC, if m∠A = (3x - 12)°, m∠B = (2x)°, and m∠C = (11x)°, how do you find the measures of the angles?

Back

Use the equation (3x - 12) + (2x) + (11x) = 180° to solve for x, then substitute back to find each angle.

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle with at least two sides of equal length, which also means it has at least two equal angles.

Front

How do you determine if triangle ABC with vertices A(1, 1), B(4, 4), C(6, -2) is isosceles?

Back

Calculate the lengths of the sides using the distance formula. If two sides are equal, the triangle is isosceles.

Front

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

Back

In a triangle, the larger the angle, the longer the opposite side; conversely, the smaller the angle, the shorter the opposite side.

Front

If BC = 5x + 0.75 and XY = 3x - 0.25, how do you find the length of BC when XY = 5?

Back

Set 3x - 0.25 = 5, solve for x, then substitute x back into BC = 5x + 0.75 to find its length.

Front

What is the definition of congruent angles?

Back

Congruent angles are angles that have the same measure.

Front

How do you find the measure of an angle if you know the measures of the other angles in a triangle?

Back

Subtract the sum of the known angles from 180° to find the unknown angle.

Front

What is the distance formula used to find the length of a side in a triangle?

Back

The distance formula is d = √((x2 - x1)² + (y2 - y1)²).