Question

what theorem shows that △ace≅△bcd?
a hypotenuse - leg
b angle - angle - side
c angle - side - angle
d side - angle - side

Explanation:

The Side - Angle - Side (SAS) congruence theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. In \(\triangle ACE\) and \(\triangle BCD\), we can observe from the markings on the sides and the vertical - angle (which is the included angle) that two sides and the included angle are congruent.

Answer:

D. Side - Angle - Side