Geometry - Topic 2 Review

Select all the true statements.

• ∠3 ≅ ∠2 because they are alternate interior angles.

• m∠1 + m∠3 = 180 because they form a straight angle.

• ∠3 ≅ ∠6 because they are alternate interior angles.

• ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180.

• ∠1 ≅ ∠3 because they are vertical angles.

What is m∠2 + m∠3? Explain.

• 180; m∠1 + 90 = 180, so m∠2 + m∠3 = 180.

• 180; m∠1 + 90 = m∠2 + m∠3, so m∠2 + m∠3 = 180.

• 90; m∠1 + m∠2 + m∠3 = 180. m∠1 = 90, so m∠2 + m∠3 = 90.

• 90; ∠2 and ∠3 are corresponding angles, so m∠2 + m∠3 = 90.

If m∠4 = 35, find m∠2. Explain.

• 55; ∠2 and ∠4 are complementary angles, so m∠2 = 90 − m∠4.

• 35; ∠2 and ∠4 are corresponding angles, so m∠2 = m∠4.

• 145; ∠2 and ∠4 are supplementary angles, so m∠2 = 180 − m∠4.

• 35; ∠2 and ∠4 are alternate interior angles, so m∠2 = m∠4.

If m∠4 = 35, find m∠3. Explain.

• 55; ∠3 and ∠4 are complementary angles, so m∠3 = 90 − m∠4.

• 35; ∠3 and ∠4 are corresponding angles, so m∠3 = m∠4.

• 145; ∠3 and ∠4 are supplementary angles, so m∠3 = 180 − m∠4.

• 35; ∠3 and ∠4 are alternate interior angles, so m∠3 = m∠4.

In the figure shown, t || x and k || w and m∠3 = 20. Choose the list which includes all of the other angles that measure 20.

• ∠1

• ∠7, ∠9, ∠14

• ∠1, ∠14, ∠16

• ∠1, ∠5, ∠7, ∠9, ∠11, ∠14, ∠16

Select all true statements if n || m.

• m∠2 = 60°

• m∠3 = 100°

• m∠2 + m∠4 = 80°

• m∠2 + m∠3 = 80°

• m∠2 = 20°

Select all the true statements.

• (4x + 16) = 180

• x = 49

• m∠A = 99°

• From smallest to largest: ∠B, ∠C, ∠A

• m∠C = 56°

If m∠E + m∠F = 120°, which expression is equivalent to m∠G?

• (7x)°

• (7x + 4)°

• (8x)°

• (8x + 4)°

What is m∠1?

• 60°

• 70°

• 120°

• 130°

Which of the following is true?

• m∠BCD − m∠DBC = 10°

• m∠BCD − m∠DBC = 20°

• m∠BCD − m∠DBC = 60°

• m∠BCD − m∠DBC = 80°