Geometry EOC 1

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?

•  6⅔ inches by 10 inches
• 5 1/3 inches by 10 inches
• 8 inches by 6 2/3 inches
• 8 inches by 10 inches

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 tower 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

Tags

CCSS.HSG.SRT.B.5

• 83.1 m²
• 24 m²
• 41.6 m²
• 20.8 m²

Tags

CCSS.6.G.A.1

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.

• ∠BAC ≅ ∠DAC
• AC ⊥ BD
• AB ≅ AD
•  AC ∥ BD

Tags

CCSS.HSG.SRT.B.5

• 1536 square meters
• 408 square meters
• 360 square meters
• 102 square meters

Tags

CCSS.6.G.A.1

• SAS
• CPCTC
• SSS
• AAS

Tags

CCSS.HSG.SRT.B.5

How do you write the inverse of the conditional statement below?
 “If m∠1 = 60°, then ∠1 is acute.”

• If m∠1 = 60°, then ∠1 is not acute
• If ∠1 is not acute, then m∠1 ≠ 60°.
• If ∠1 is acute, then m∠1 = 60°.
• If m∠1 ≠ 60°, then ∠1 is not acute.

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

• 24 square feet
• 48 square feet
• 136 square feet
• 272 square feet