Semester Review_Topic 6

Front

What does it mean for two segments to be congruent?

Back

Two segments are congruent if they have the same length.

Front

If EF ≅ FG, what can we conclude about their lengths?

Back

EF = FG.

Front

How do you find the measure of a segment when given congruent segments?

Back

Set the lengths of the congruent segments equal to each other and solve for the variable.

Front

What is the sum of the interior angles of a triangle?

Back

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

Front

If m∠A = (7x)°, m∠B = (6x)°, and m∠C = (2x)°, how do you find the value of x?

Back

Set up the equation: 7x + 6x + 2x = 180 and solve for x.

Front

What is the value of ∠A if x = 12?

Back

∠A = 7x = 7(12) = 84 degrees.

Front

Back

Cross-multiply to get 2x = 60, then solve for x.

Front

Back

x = 30.

Front

What does it mean if two sides of a triangle are congruent?

Back

If two sides of a triangle are congruent, then the angles opposite those sides are also congruent.

Front

If two angles are congruent, what can we say about the sides opposite those angles?

Back

The sides opposite the congruent angles are also congruent.