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MA.912.G.8.4: Make conjectures with justifications about geometric ideas. Distinguish between information that supports a conjecture and the proof of.

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Presentation on theme: "MA.912.G.8.4: Make conjectures with justifications about geometric ideas. Distinguish between information that supports a conjecture and the proof of."— Presentation transcript:

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2 MA.912.G.8.4: Make conjectures with justifications about geometric ideas. Distinguish between information that supports a conjecture and the proof of a conjecture. These two triangles were on Yin's geometry exam. Which of the following statements will prove that triangle ABC is congruent to triangle DEF? A.AB = 4, DE = 4, m BAC = m EDF B.BC = 6, EF = 6, m BAC = m EDF C.AB = 4, DE = 4, m ABC = m DEF D.BC = 6, EF = 6, m ABC = m DEF

3 MA.912.G.8.4: Make conjectures with justifications about geometric ideas. Distinguish between information that supports a conjecture and the proof of a conjecture. Given that m BCD = 50°, which of the following statements is sufficient to prove that ΔBCD is an isosceles triangle? A.m ABD = 100° B.m BDC + m CBD + 50° = 180° C.m BDC + 50° = m ABD D.m ABD + m CBD = 180°

4 MA.912.G.8.4: Make conjectures with justifications about geometric ideas. Distinguish between information that supports a conjecture and the proof of a conjecture. Given that m BAC = 20°, which of the following statements will prove Δ ABC is isosceles? A.m ABC + m BCA + 20° = 180° B.m ABC + 20° = m BCD C.m BCD = 40° D.m ACB + m BCD = 180°

5 MA.912.G.8.4: Make conjectures with justifications about geometric ideas. Distinguish between information that supports a conjecture and the proof of a conjecture. Use the figure below to determine which of the following conditions is sufficient to prove that ΔBEC is isosceles? A.AE = DE B.AB = CD C.m EAB = m EDC D.m EBA = m ECD

6 MA.912.G.8.4: Make conjectures with justifications about geometric ideas. Distinguish between information that supports a conjecture and the proof of a conjecture. On Jamal's geometry test, quadrilateral ABCD is inscribed in a circle. Use the figure to determine which of the following statements is sufficient to prove that ΔABC is a right triangle? A.m ADC = 90° B.m BAD = 90° C.m BCD = 90° D.m ACB = 60°

7 MA.912.G.8.4: Make conjectures with justifications about geometric ideas. Distinguish between information that supports a conjecture and the proof of a conjecture. Tomas saw the following figure of parallelogram ABCD in his geometry book. Which of the following statements will prove that parallelogram ABCD is a rectangle? A.m ABC + m BCD = 180° B.m ABC + m CDA = 180° C.m BCD + m CDA = 180° D.m CDA + m DAB = 180°

8 MA.912.G.8.4: Make conjectures with justifications about geometric ideas. Distinguish between information that supports a conjecture and the proof of a conjecture. Janet makes the conjecture that line p is also parallel to line r. What must the value of y be for her conjecture to be correct?

9 MA.912.G.8.4: Make conjectures with justifications about geometric ideas. Distinguish between information that supports a conjecture and the proof of a conjecture. The following figure was on a quiz in Jaime's geometry class. Which of the following statements will prove that ΔABC is congruent to ΔCDA? A. AB = 7, CD = 7, m ABC = m ADC B. AD = 10, BC = 10, m ACD = m BAC C. AB = 7, CD = 7, m CAD = m ACB D. AD = 10, BC = 10, m ACB = m CAD

10 MA.912.G.8.4: Make conjectures with justifications about geometric ideas. Distinguish between information that supports a conjecture and the proof of a conjecture. Maria inscribed ΔABC in a circle. Which of the following statements will prove that ΔABC is a right triangle? A. BAC is acute. B. ACB is obtuse. C.AB = 3, AC = 5 D.Arc ABC is a semicircle.


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