1.1 The Geometric System

Use the axioms given to determine what conclusions can be made about the planets of Yogul. Select all that apply.

• Bears and Foxes can live on Sothera

• Lizards and Scorpions can only live on Mothera

• Only Frogs and Monkeys can survive on Kothera

• Scorpions and Lizards can live on Mothera

Classify the figure as illustrating synthetic geometry or analytic geometry

• Synthetic Geometry

• Analytic Geometry

Classify the figure as illustrating synthetic geometry or analytic geometry

• Synthetic Geometry

• Analytic Geometry

Classify the figure as illustrating synthetic geometry or analytic geometry

• Synthetic Geometry

• Analytic Geometry

A statement proved true using axioms, postulates, or other theorems known to be true

• theorem
• angle
• transversal
• Euclidean Geometry

A mathematical statement that requires proof is a

• theorem

• postulate

• definition

• conjecture

A mathematical statement that does NOT require proof is a

• theorem

• postulate

• conjecture

• definition

David has a construction company that built 8 houses last year. Six of the houses required landscaping, which cost $8000 more per house. Three of the houses had garages that cost an extra $7000 per house.

Ben paid $15,000 more for his house than David’s usual price.

• Marina paid the usual price for her house.

• The usual price for David’s houses is the same without landscaping or a garage.

• No houses were completed in January.

Use the axioms to choose the conclusion about the houses David built.

• Ben got a garage only.

• Ben got landscaping only.

• Ben got a garage and landscaping

• Ben got neither a garage nor landscaping

David has a construction company that built 8 houses last year. Six of the houses required landscaping, which cost $8000 more per house. Three of the houses had garages that cost an extra $7000 per house.

Ben paid $15,000 more for his house than David’s usual price.

• Marina paid the usual price for her house.

• The usual price for David’s houses is the same without landscaping or a garage.

• No houses were completed in January.

Use the axioms to choose the conclusion about the houses David built.

• Marina got a garage only.

• Marina got landscaping only.

• Marina got a garage and landscaping

• Marina got neither a garage nor landscaping

Classify the figure as illustrating synthetic geometry or analytic geometry.

• synthetic geometry

• analytic geometry