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Geometry Mini-Lesson

Geometry Mini-Lesson. These two triangles were on Yin's geometry exam. Which of the following statements will prove that triangle ABC is congruent to triangle DEF ?. AB = 4, DE = 4, m BAC = m EDF BC = 6, EF = 6, m BAC = m EDF AB = 4, DE = 4, m ABC = m DEF

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Geometry Mini-Lesson

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  1. Geometry Mini-Lesson These two triangles were on Yin's geometry exam. Which of the following statements will prove that triangle ABC is congruent to triangle DEF? • AB = 4, DE = 4, m BAC = m EDF • BC = 6, EF = 6, m BAC = m EDF • AB = 4, DE = 4, m ABC = m DEF • BC = 6, EF = 6, m ABC = m DEF 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.

  2. Geometry Mini-Lesson Given that m BCD = 50°, which of the following statements is sufficient to prove that ΔBCD is an isosceles triangle? • m ABD = 100° • m BDC + m CBD + 50° = 180° • m BDC + 50° = m ABD • m ABD + m CBD = 180° 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.

  3. Geometry Mini-Lesson Given that m BAC = 20°, which of the following statements will prove Δ ABC is isosceles? • m ABC + m BCA + 20° = 180° • m ABC + 20° = m BCD • m BCD = 40° • m ACB + m BCD = 180° 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.

  4. Geometry Mini-Lesson Use the figure below to determine which of the following conditions is sufficient to prove that ΔBEC is isosceles? • AE = DE • AB = CD • m EAB = m EDC • m EBA = m ECD 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.

  5. Geometry Mini-Lesson 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? • m ADC = 90° • m BAD = 90° • m BCD = 90° • m ACB = 60° 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.

  6. Geometry Mini-Lesson 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? • m ABC + m BCD = 180° • m ABC + m CDA = 180° • m BCD + m CDA = 180° • m CDA + m DAB = 180° 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.

  7. Geometry Mini-Lesson 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? 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.

  8. Geometry Mini-Lesson 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? • AB = 7, CD = 7, m ABC = m ADC • AD = 10, BC = 10, m ACD = m BAC • AB = 7, CD = 7, m CAD = m ACB • AD = 10, BC = 10, m ACB = m CAD 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.

  9. Geometry Mini-Lesson Maria inscribed ΔABC in a circle. Which of the following statements will prove that ΔABC is a right triangle? • BAC is acute. • ACB is obtuse. • AB = 3, AC = 5 • Arc ABC is a semicircle. 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.

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