HCS MA Geometry Simulation_24-25 (V1)

George used a decorative gate to connect the fencing around his backyard. Using the information on the diagram and assuming the top and bottom are parallel, the m∠ABC is –

• 40°

• 60°

• 120°

• 180°

Given: p || q, m || n, and m∠1 = 75°. What is the measure of angle 2?

• 75

• 105

• 60

• 90

Determine which statement best represents the information in the figure.

• AE || CF and EB || FD

• AD || EF and EB || FD

• AD || EF and CF || FD

• AE || CF and EF || AD

In the figure, lines l and m are cut by transversals s and t forming the angles shown. Lines l and m are parallel. What other angle equals ∠9, and what is the justification?

• ∠2; alternate exterior angles are congruent

• ∠4; alternate interior angles are congruent

• ∠3; vertical angles are congruent

• ∠7; alternate interior angles are congruent

If p || q, what is the measure of ∠ACB?

Given: LM and QR are parallel. Given: ∠M = ∠L = 50°. What is m∠QNP? (Refer to the diagram.)

• 130°

• 100°

• 80°

• 50°

Let p represent “a triangle is isosceles” and q represent “the base angles in a triangle are congruent”. Which symbolic form represents the statement “If the base angles in a triangle are not congruent, then the triangle is not isosceles”?

• p → q

• ∼q →∼p

• ∼p →∼q

• ∼p → q

Which is the contrapositive of the following statement? If a polygon is a triangle, then it has exactly three sides.

• A. A polygon is not a triangle then it does not have three sides.

• B. If a polygon does not have exactly three sides, then it is not a triangle.

• C. If a polygon has exactly three sides, then it is not a triangle.

• D. If a polygon has exactly three sides, then it is a triangle.

What is the converse of the following statement? If Carl gets a job, then he will buy a car.

• If Carl does not get a job, then he will not buy a car.

• If Carl buys a car, then he will get a job.

• If Carl does not buy a car, then he will not get a job.

• If Carl buys a car, then he will not get a job.

• ∼q → ∼p

• q → ∼p

• p → q

• ∼q → p