Mr. Byfield and Ms. Fuentes each have 18 students in their classes. Half of the students in Mr. Byfield’s class are girls. There are 2 more girls in Ms. Fuentes’ class than in Mr. Byfield’s. How many girls are in Ms. Fuentes’ class?

Given: abcd is a square. prove: ac ? bd. we are given that abcd is a square. if we consider triangle aeb and triangle aed, we see that side is congruent to side ad because sides of a square are congruent. we know that side ae is congruent to side ae by using the . finally, we know that side de is congruent to side because the diagonals of a square bisect each other. therefore, triangle aeb is congruent to triangle aed by congruency. we see that angle aed and angle aeb are a linear pair, and congruent by cpctc. thus, the measure of these angles will be 90°, and diagonal ac is perpendicular to diagonal bd by the .