Question

the two triangles below are similar. complete the similarity statement. (\triangle ijksim\trianglesquare)

Explanation:

Step1: Identify corresponding angles

In \(\triangle IJK\), \(\angle I = 51^{\circ}\), \(\angle J=87^{\circ}\), \(\angle K = 42^{\circ}\). In \(\triangle CED\), \(\angle C=87^{\circ}\), \(\angle D = 51^{\circ}\), \(\angle E=42^{\circ}\).

Step2: Match the angles for similarity statement

Since \(\angle J=\angle C = 87^{\circ}\), \(\angle K=\angle E=42^{\circ}\), \(\angle I=\angle D = 51^{\circ}\), the order of the vertices in the similarity statement should follow the correspondence of angles.

Answer:

\(\triangle IJK\sim\triangle DCE\)