Exploring Similarity in Geometry

If two triangles are similar, what can be said about their corresponding angles?

• They are adjacent.

• They are complementary.

• They are supplementary.

• They are congruent.

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

• Add the measures of the two known angles and subtract from 360.

• Multiply the measures of the two known angles.

• Add the measures of the two known angles and subtract from 180.

• Divide 180 by the sum of the two known angles.

Why must the sum of angles in a triangle always equal 180 degrees?

• Because of the Law of Cosines.

• Because of the Law of Sines.

• Because of the Pythagorean Theorem.

• Because of the Triangle Sum Theorem.

What is the value of x in a triangle if 7x + 2x + 5x = 180?

• 12.86

• 14

• 10

• 9

In a parallelogram, how is the angle across a parallel line determined?

• It is supplementary to the adjacent angle.

• It is half the measure of the adjacent angle.

• It is congruent to the opposite angle.

• It is complementary to the adjacent angle.

What is the measure of angle z if z = 7x and x = 12.86?

• 90 degrees

• 89.02 degrees

• 95 degrees

• 85 degrees

What is the measure of angle y if y = 5x and x = 12.86?

• 63 degrees

• 70 degrees

• 60 degrees

• 64.3 degrees

How do you solve for x when given the proportion 17/x = 11/4?

• Multiply across the equals sign.

• Subtract the denominators from the numerators.

• Add the numerators and denominators.

• Cross multiply and divide.

What does it mean if two lines are parallel in terms of their angles?

• Their angles are complementary.

• Their angles are congruent.

• Their angles are supplementary.

• Their angles are adjacent.

What is the value of x when 17 times 4 equals 11x?

• 8.36

• 6.18

• 7.27

• 5.5