Midterm Examination in Geometry

You notice sunflower seeds arranged in a spiral. Which branch of mathematics best explains this pattern?

• Arithmetic

• Algebra

• Geometry

• Probability

You walk 1 km straight, turn right, walk 1 km, then turn right again and walk 1 km. You're close to where you started. This pattern is likely to form what?

• A triangle

• A circle

• A square

• A line

During a museum visit, you learn how pyramids were designed using geometry. Which civilization contributed this?

• Greek

• Roman

• Egyptian

• Indian

An architect is inspired by Euclid's 'Elements' to design a building. What is the major contribution of this book?

• Volume calculation

• Shape coloring

• Collection of geometric definitions and proofs

• Philosophy of math

After a flood, a local government reassigns land by measuring it. What system is being used here that was also used by the Egyptians?

• Astronomy

• Geometry

• Statistics

• Navigation

While building a house, you notice the workers using strings and pegs to mark the corners of a rectangular foundation. What ancient civilization first used similar practices to reclaim land boundaries?

• Greeks

• Romans

• Egyptians

• Chinese

A student is curious about shapes formed when lines intersect. He studies axioms without proofs. What are these statements called?

• Axioms

• Definitions

• Conjectures

• Hypotheses

An archaeologist finds a design with repeated spiral patterns. What natural example might they compare it to?

• Square tile

• Pineapple

• Sunflower

• Riverbank

How was the height of the pyramids calculated in ancient times?

• Algebra

• Arithmetic

• Trial and error

• Geometry

What was the original purpose of using geometry in ancient times?

• Traffic control

• Fire safety

• Land ownership problems

• War tactics