PSAT · Question of the Day

PSAT Question of the Day

A fresh daily question to build accuracy, reinforce recall, and turn practice into a steady habit.

Friday, August 7, 2026

Triangles $ABC$ and $A'B'C'$ are similar with scale factor $\dfrac{3}{2}$ from $ABC$ to $A'B'C'$ . If $BC=8$ in $ABC$ , what is $B'C'$ ?

Keep practicing PSAT

Question of the Day

Answer today's PSAT question, reveal the full explanation, then keep the streak going with a new question every day.

Triangles $ABC$ and $A'B'C'$ are similar with scale factor $\dfrac{3}{2}$ from $ABC$ to $A'B'C'$ . If $BC=8$ in $ABC$ , what is $B'C'$ ?

$5.33$
$12$ (correct answer)
$16$
$10$

Explanation: This question asks for the length of B'C' when triangles ABC and A'B'C' are similar with scale factor 3/2. When triangles are similar, corresponding sides are proportional to the scale factor. Given BC = 8 in triangle ABC and the scale factor from ABC to A'B'C' is 3/2, the corresponding side B'C' equals: B'C' = BC × (scale factor) = 8 × (3/2) = 12. Therefore, B'C' = 12. A common mistake would be using the reciprocal of the scale factor or confusing which triangle is being scaled to which.