Geometry Q1 Benchmark Review

Lines s and t are cut by transversals l and m. Which pair of angles must be supplementary to prove that s || t?

• ∠2 and ∠3

• ∠4 and ∠10

• ∠8 and ∠12

• ∠7 and ∠15

Tags

CCSS.8.G.A.5

Lines s and t intersect lines l and m. Which angle must be congruent to ∠1 to prove that s ∥ t?

• ∠4

• ∠3

• ∠14

• ∠13

Tags

CCSS.8.G.A.5

Statement: If an angle measures 110°, then it is not acute.

What is the converse of this statement?

• If an angle does not measure 110°, then it is acute.

• If an angle is not acute, then it measures 110°.

• If an angle is acute, then it does not measure 110°.

• If an angle is acute, then it does measure 110°.

Tags

CCSS.4.G.A.1

Statement: If two angles are supplementary, then their sum is 180°.

What is the inverse of this statement?

• If two angles sum to 180°, then the angles are supplementary.

• If two angles are not supplementary, then their sum is not 180°.

• If two angles do not sum to 180°, then the angles are supplementary.

• If two angles are not supplementary, then their sum is 180°.

Tags

CCSS.7.G.B.5

Contrapositive: If the temperature is below 71°, then the air conditioner will not come on.

Given the contrapositive, what is the original statement?

• If the air conditioner will not come on, then the temperature is below 71°.

• If the air conditioner comes on, then the temperature is not below 71°.

• If the temperature is below 71°, then the air conditioner will come on.

• If the temperature is not below 71°, then the air conditioner will come on.

Tags

CCSS.RI.7.1

CCSS.RI.7.8

CCSS.RI.8.1

CCSS.RL.7.1

CCSS.RL.8.1

If a ∥ b, and m∠2 = 122°, what is the m∠3?

• 122°

• 68°

• 58°

• 28°

Tags

CCSS.8.G.A.5

Which image shows two parallel lines cut by a transversal?

• 
• 
• 
• 

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Let p = You own a dog

Let q = You do not own a cat

Statement: If you own a cat, then you own a dog

Which of the following is the symbolic representation of the given statement?

• ~q → p

• ~p → ~q

• q → p

• ~p → q

What is a counterexample to the following statement? Prime numbers are never even.

• 15 is not prime number or even.

• 2 is a prime number and is even.

• 5 is a prime number and is not even.

• 26 is not a prime number and is even.

Andrew cut a rectangular piece of wood along a straight line, as shown below. Andrew calculated that x = 70°. Which of the following statements justifies Andrew's calculations?

• A. Vertical angles are congruent.

• B. Alternate exterior angles are congruent.

• C. Consecutive (same side) interior angles are supplementary.

• D. Corresponding angles are supplementary.

Tags

CCSS.7.G.B.5