Question 41
In triangle $ABC$ we have $\angle ACB = 90^\circ$. The point $M$ is the midpoint of $AB$. The line through $M$ parallel to $BC$ intersects $AC$ in $D$. The midpoint of line segment $CD$ is $E$. The lines $BD$ and $CM$ are perpendicular.
Be aware: the figure is not drawn to scale.
a. Prove that triangles $CME$ and $ABD$ are similar.
b. Prove that $EM$ and $AB$ are perpendicular.
Be aware: the figure is not drawn to scale.
a. Prove that triangles $CME$ and $ABD$ are similar.
b. Prove that $EM$ and $AB$ are perpendicular.