GEOMETRY EOC FINAL REVIEWER

Write a conditional statement from the following statement: A horse has 4 legs.

• If it has 4 legs, then it is a horse.

• Every horse has 4 legs.

• If it is a horse, then it has 4 legs.

• It has 4 legs and it is a horse.

Answer explanation

If it is a horse, then it has 4 legs.

What other information is needed in order to prove the triangles congruent using the SAS Congruence Postulate?

• ∠BAC ≅ ∠DAC

• AC ⊥ BD

• AB || AD

• AC ≅ BD

Answer explanation

To prove triangles congruent using SAS, we need the side AC to be congruent to side BD in addition to the other given information.

Assume all angles are right angles. What is the area of the figure?

• 1536 square meters

• 408 square meters

• 360 square meters

• 102 square meters

Answer explanation

The area of the figure can be calculated by multiplying the length and width. In this case, the area is 24 x 17 = 408 square meters, which matches the correct answer choice.

In the proof below, what is the missing reason?

• a. SAS

• b. CPCTC

• c. SSS

• d. AAS

Answer explanation

The missing reason in the proof is CPCTC, which stands for Corresponding Parts of Congruent Triangles are Congruent.

How do you write the inverse of the conditional statement below? "If m∠L = 60°, then ∠L is acute."

• If m∠L = 60°, then ∠L is not acute.

• If ∠L is not acute, then m∠L ≠ 60°.

Answer explanation

If ∠L is not acute, then m∠L ≠ 60°.

What is the contrapositive of the statement below? "If today is Friday, then tomorrow is Saturday."

• If tomorrow is not Saturday, then today is not Friday.

• If today is Saturday, then tomorrow is not Friday.

Answer explanation

The contrapositive of the statement 'If today is Friday, then tomorrow is Saturday' is 'If tomorrow is not Saturday, then today is not Friday.' This is the correct choice.

Lina is covering a wall in her attic with wallpaper. The wall is trapezoid-shaped with top and bottom bases of 14 feet and 20 feet. The height of the wall is 8 feet. How much wallpaper will she need to cover the wall?

• 24 square feet

• 48 square feet

• 136 square feet

• 272 square feet

Answer explanation

To find the area of a trapezoid, use the formula: Area = 1/2 * (top base + bottom base) * height. Plugging in the values, Area = 1/2 * (14 + 20) * 8 = 136 square feet. Therefore, Lina will need 136 square feet of wallpaper to cover the wall.

You are reducing a map of dimensions 2 feet by 3 feet to fit to a piece of paper 8 inches by 10 inches. What are the dimensions of the largest possible map that can fit on the page?

• 6 2/3 inches by 10 inches

• 5 1/3 inches by 10 inches

• 8 inches by 6 2/3 inches

• 8 inches by 10 inches

Answer explanation

The largest possible map that can fit on the page is 8 inches by 10 inches, which matches the dimensions of the paper.

A bell tower is 17 meters tall. It casts a long shadow on the ground below. The tip of the shadow of the bell tower is 51 meters from the base of the bell tower. At the same time, a tall elm tree casts a shadow that is 63 meters long. If the right triangle formed by the elm and its shadow is similar to the right triangle formed by the elm and its shadow, how tall is the elm to the nearest tenth?

• 13.8 meters

• 21 meters

• 189 meters

• 3.7 meters

Answer explanation

The height of the elm tree can be found using similar triangles. Setting up a proportion, (17/51) = (x/63), solving for x gives x = 21. The height of the elm tree is 21 meters.

Find the area of a regular hexagon with side length 4 m. Round to the nearest tenth.

• 83.1 m²

• 24 m²

• 41.6 m²

• 20.8 m²

Answer explanation

The area of a regular hexagon can be calculated using the formula: (3√3/2) * s^2, where s is the side length. Substituting s=4, we get (3√3/2) * 4^2 = 83.1 m². Therefore, the correct answer is 83.1 m².