Question

are these shapes similar?
(left triangle: vertices c, d, e. d is right angle. cd = 675 in, de = 900 in, ce = 1125 in. angle at e is marked. right triangle: vertices l, k, m. lk = 825 in, lm = 1125 in, km = 675 in. angles at l and m are marked. options: yes, no)

Explanation:

Step1: Check corresponding angles

In the first triangle \( \triangle CDE\), \(\angle D = 90^{\circ}\). In the second triangle \( \triangle LMK\), there is no right - angle. For two triangles to be similar, their corresponding angles must be equal.

Step2: Conclusion

Since the angles are not all equal (one triangle is a right - triangle and the other is not), the triangles are not similar.

Answer:

no