EOC Prep-1

If the measure of Angle A is 60 degrees, which statement must also be true?

• Both angle A and its supplement are obtuse angles.

• Both angle A and its supplement are acute angles.

• Both angle A and its complement are obtuse angles.

• Both angle A and its complement are acute angles.

In the accompanying figure, l, m, and n are lines with l ⊥ m. Which angles are complementary?

• 1 and 3

• 1 and 2

• 3 and 4

• 3 and 5

In the accompanying diagram, AFB∥CDE. If FD bisects ∠CFB, which statement is true?

• ∠w ≅ ∠y

• ∠y ≅ ∠z

• ∠w ≅ ∠z

• ∠x ≅ ∠y

If ∠C is the complement of ∠A, and ∠S is the supplement of ∠A, which statement is always true?

• m∠C +m∠S = 180

• m∠C +m∠S = 90

• m∠C > m∠S

• m∠C < m∠S

If the complement of ∠A is greater than the supplement of ∠B, which statement must be true?

• m∠A + m∠B = 180

• m∠A + m∠B = 90

• m∠A < m∠B

• m∠A > m∠B

A 28-foot ladder is leaning against a house. The bottom of the ladder is 6 feet from the base of the house. Find the measure of the angle formed by the ladder and the ground, to the nearest degree.

• 77

• 76

• 5

• 78

In the accompanying diagram of quadrilateral ABCD, diagonal AC bisects ∠BAD and ∠BCD. Which statement can be used to prove that ⊿ABC≅⊿ADC?

• HL ≅ HL

• SSS ≅ SSS

• ASA ≅ ASA

• SAS ≅ SAS

In the accompanying diagram, RL ⊥ LP, LR ⊥ RT, and M is the midpoint of TP. Which method could be used to prove ⊿TMR ≅ ⊿PML?

• SAS ≅ SAS

• AAS ≅ AAS

• HL ≅ HL

• SSS ≅ SSS

In the accompanying diagram, parallel lines l and m are cut by transversal t. Which statement about angles 1 and 2 must be true?

• ∠1 ≅ ∠2

• ∠1 is a complement to ∠2

• ∠1 is a supplement ∠2

• ∠1 and ∠2 are right angles

In the accompanying diagram, parallel lines l and m are cut by transversal t. Which statement is true?

• m∠1 + m∠2 + m∠5 = 360

• m∠1 + m∠2 + m∠3 = 180

• m∠1 + m∠2 = m∠2 + m∠3

• m∠1 + m∠3 = m∠4 + m∠5