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
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
B. m
C. m
D. m
ABD = 100°
BDC + m CBD + 50° = 180°
BDC + 50° = m ABD
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.
Given that m BAC = 20°, which of the following
statements will prove Δ ABC is isosceles?
A.
B.
C.
D.
m
m
m
m
ABC + m BCA + 20° = 180°
ABC + 20° = m BCD
BCD = 40°
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.
Use the figure below to determine which of the following
conditions is sufficient to prove that ΔBEC is isosceles?
A.
B.
C.
D.
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.
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
B. m
C. m
D.m
ADC = 90°
BAD = 90°
BCD = 90°
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.
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
B. m
C. m
D. m
ABC + m
ABC + m
BCD + m
CDA + m
BCD = 180°
CDA = 180°
CDA = 180°
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.
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.
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.
B.
C.
D.
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.
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.
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.