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Conjectures

Two-Dimensional

Student need to know...

How to make conjectures with justifications about geometric ideas.

The benchmark will be assessed using MC (Multiple Choice) items.

Items may include proofs about congruent/similar triangles and parallel lines.

Example One

For his mathematics assignment, Armando must determine the conditions that will make quadrilateral ABCD, shown below, a parallelogram.

Given that the m∠ DAB = 40°, which of the following statements will guarantee that ABCD is a parallelogram?

  1. m∠ ADC + m∠ DCB + m∠ ABC + 40°  = 360°.  

  2. m∠ DCB  = 40°; m∠ ABC  = 140° 

  3. m∠ ABC + 40° = 180° 

  4. m∠ DCB  = 40° 

Example Two
Inductive Reasoning
Exploring Proofs
Deductive Reasoning
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