Each vertex in triangle IJL should be matched to its corresponding vertex in the dashed triangle as follows;
ΔIJL Dashed triangle
I L
J J
L K
The Right Triangles Similarity Theorem states that when the altitude of a triangle is drawn to the hypotenuse of a right angled triangle, then, the two triangles that are formed would be similar to each other, as well as the original triangle.
By applying the Right Triangles Similarity Theorem, we can reasonably and logically deduce that both triangle IJL and triangle JKL are similar triangles.
Since triangle IJL is similar to triangle JKL, we have the following corresponding vertex;
I ↔ L
J ↔ J
L ↔ K
Complete Question:
Match each vertex in IJL to its corresponding vertex in the dashed triangle.