Question

In the triangles, Line segment G K is-congruent-to line segment P N and Line segment G H is-congruent-to line segment M P.

Triangles G H K and P M N are shown. The length of side H K is 32 centimeters. The length of side M N is 40 centimeters. The lengths of sides H G and M P are congruent. The lengths of sides G K and P N are congruent.

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.

Answer 1

The answer is B

Explanation:

Edg 2020

Answer 2

B). Angle G is smaller than Angle P

Explanation:

Given that,

GK ≅ PN,

GH ≅ MP

HK = 32 cm

MN = 40cm

and the other lengths are congruent.

This suggests that although the triangles are congruent yet they are not similar. Hence, the second statement correctly compares the angles that 'angle P is greater than angle G.'