Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Front

Which side lengths would NOT form a triangle?

Back

{2,5,9} - The sum of 2 and 5 is not greater than 9.

Front

How do you find the coordinates of a point that partitions a segment in a given ratio?

Back

Use the section formula: P(x,y) = ((mx2 + nx1)/(m+n), (my2 + ny1)/(m+n)) where m:n is the ratio.

Front

What are the coordinates of point P that partitions segment AB in the ratio 5:1 with A(2, 4) and B(8, 10)?

Back

P(7,9) - Calculated using the section formula.

Front

What is the formula for the sine of an angle in a right triangle?

Back

sin(θ) = opposite side / hypotenuse.

Front

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

Back

cos(θ) = adjacent side / hypotenuse.

Front

What is the measure of arc AB if the central angle is 142 degrees?

Back

The measure of arc AB is 142 degrees.

Front

How do you solve for x in a linear equation?

Back

Isolate x on one side of the equation using inverse operations.

Front

What is the solution for x in the equation 2x + 6 = 20?

Back

x = 7.

Front

What is the relationship between the sides of a right triangle and the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.