Question

in the triangles, gk = pn and hg = mp. which statement correctly compares the angles? angle g is congruent to angle p. angle g is smaller than angle p. angle g is larger than angle p. angle g is congruent to angle n

Explanation:

Step1: Recall the hinge - theorem

The hinge - theorem states that if two sides of one triangle are congruent to two sides of another triangle, and the included side of the first triangle is shorter than the included side of the second triangle, then the included angle of the first triangle is smaller than the included angle of the second triangle. Here, $\overline{GK}\cong\overline{PN}$ and $\overline{HG}\cong\overline{MP}$, and $HK = 32$ cm, $MN=40$ cm.

Step2: Apply the hinge - theorem

Since $HK

Answer:

Angle G is smaller than angle P.