GEOMETRY MOCK SOL REVIEW: Part I

In the figure below with parallel lines t and s intersected by line m, identify the congruent angles:

• 6 and 4

• 2 and 7

• 1 and 7

• 3 and 8

Tags

CCSS.8.G.A.5

The figure below shows sides TL and MP intersecting at point R. What value of x proves side MT is parallel to side PL?

Tags

CCSS.8.G.A.5

In the diagram, line s is parallel to line t. If m∠12 = (5x + 20) and m∠15 = (5x - 10), what is the measure of ∠12?

• m∠12 = 105°

• m∠12 = 100°

• m∠12 = 17°

• m∠12 = 60°

Tags

CCSS.8.G.A.5

John used parallel line properties to prove that ∠BEH ≅ ∠FBE.

Identify the correct order of the following angles: ∠DEF, ∠FBE, ∠DEB, ∠EFB, ∠DEF, ∠BFE, ∠DEB, ∠HEF.

• ∠DEF ≅ ∠FBE

• ∠DEB ≅ ∠EFB

• ∠DEF ≅ ∠BFE

• ∠DEB ≅ ∠HEF

Tags

CCSS.8.G.A.5

Write the contrapositive of the given statement: If it is a fish, then it swims in a body of water.

• If it does not swim in a body of water, then it is not a fish.

• If it swims in a body of water, then it is a fish.

• If it is not a fish, then it does not swim in a body of water.

• If it is a fish, then it does not swim in a body of water.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Write the inverse of the given statement: If it is a fish, then it swims in a body of water.

• If it is not a fish, then it does not swim in a body of water.

• If it swims in a body of water, then it is a fish.

• If it does not swim in a body of water, then it is not a fish.

• If it is not a fish, then it swims in a body of water.

Create a symbolic representation of the following argument.

Let p represent: angle D is obtuse.

Let q represent: angle F is obtuse.

Angle D is obtuse if and only if angle F is obtuse.

Angle D is obtuse or angle F is obtuse.

Therefore, angle D is obtuse and angle F is obtuse.

Which of the following is the correct symbolic representation?

• p <---> q

  q ∧ p

  ∴ q

• p <---> q

  p ∨ q

  ∴ p ∧ q

• p <---> q

  p ∧ q

  ∴ p ∨ q

• p ---> q

  p ∧ q

  ∴ p ∨ q

Jill made the following statement:

If it is Tuesday, then the cafeteria is serving meatloaf. If the cafeteria serves meatloaf, Josh packs his lunch. Which of the following conclusions can be made?

• If Josh did not pack his lunch, then it was Tuesday.

• If it is not Tuesday, then Josh did not pack his lunch.

• If Josh packed his lunch, then it was Tuesday.

• If it is Tuesday, then Josh packs his lunch.

In the triangle, angle RST is a right angle.

Given that SM is perpendicular to RT, which statement must be true?

• 
• 
• 
• 

Tags

CCSS.HSG.CO.C.10

Which list has the sides of △ABC ordered from longest to shortest?

• BC, AC, AB

• AB, BC, AC

• AB, AC, BC

• BC, AB, AC

Tags

CCSS.HSG.CO.C.10