Desmos Graphing Calculator
Math·Geometry and Trigonometry·Lines, angles, and triangles
hardIn triangle ABC and triangle DEF, sides AB and DE each have a side length of 10 inches, and angles A and D each have an angle measure of 40∘. Which of the following additional pieces of information is(are) sufficient to prove whether triangle ABC is congruent to triangle DEF?
I. The measures of angles B and C are equal.
II. The lengths of sides AC and DF are equal.
III. The lengths of sides BC and EF are equal.
I. The measures of angles B and C are equal.
II. The lengths of sides AC and DF are equal.
III. The lengths of sides BC and EF are equal.
A
I is sufficient, but II and III are not.
B
II is sufficient, but I and III are not.
C
III is sufficient, but I and II are not.
D
II is sufficient and III is sufficient, but I is not.