options: Reason quantitatively and use units to solve problems.

Perform operations on vectors.

Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

Apply and extend previous understandings of numbers to the system of rational numbers.

Compute fluently with multi-digit numbers and find common factors and multiples.

Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

Know that there are numbers that are not rational, and approximate them by rational numbers.

Use complex numbers in polynomial identities and equations.

Use properties of rational and irrational numbers.

Extend the properties of exponents to rational exponents.

Perform arithmetic operations with complex numbers.

Perform operations on matrices and use matrices in applications.

Represent and model with vector quantities.

Represent complex numbers and their operations on the complex plane.
problem_activity: Task
Is there an equilateral triangle $ABC$ so that  $\overline{AB}$ lies on the $x$-axis and $A$, $B$, and $C$ all have integer $x$ and $y$ coordinates?  Explain.


correct_option_index: 8