Modeling and Cumulative Problems

Apply prior geometry ideas in modeling and cumulative problems.

Lesson 4 of 43 parts Practice Flashcards

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Selecting a Method

Objective: Solve and explain selecting a method.

Select the theorem or formula whose conditions match the given facts.

Worked examples

Try itA right triangle has legs 3 and 4. Which method finds its hypotenuse?Show answer

Pythagorean theorem. Known legs in a right triangle call for a²+b²=c².

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Objective: Solve and explain selecting a method.

Select the theorem or formula whose conditions match the given facts.

Worked examples

Try itA right triangle has legs 3 and 4. Which method finds its hypotenuse?Show answer

Pythagorean theorem. Known legs in a right triangle call for a²+b²=c².

Objective: Solve and explain multi-step geometry.

Multi-step solutions can combine angle, distance, and area relationships.

Worked examples

Try itA rectangle has dimensions 4 by 6; a square of side 2 is removed. Remaining area?Show answer

20. Find rectangle area, then subtract 2²=4.

Objective: Solve and explain checking assumptions.

Check units, diagram assumptions, and whether a result satisfies the original problem.

Worked examples

Try itA proposed triangle has side lengths 3, 4, 8. What check reveals the issue?Show answer

Triangle inequality fails.. The sum of the two shorter sides is 2i+5, less than 2i+6.

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