options: Reason quantitatively and use units to solve problems.

Extend the properties of exponents to rational exponents.

Use complex numbers in polynomial identities and equations.

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

Perform operations on matrices and use matrices in applications.

Represent complex numbers and their operations on the complex plane.

Perform arithmetic operations with complex numbers.

Use properties of rational and irrational numbers.

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

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

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

Represent and model with vector quantities.

Perform operations on vectors.

Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
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: 7