the figure was created by repeatedly reflecting triangle nmp. what is the perimeter of the figure? 36 in. 42…

the figure was created by repeatedly reflecting triangle nmp. what is the perimeter of the figure? 36 in. 42 in. 44 in. 48 in. 6 in. m n 8 in. 4 in. p figure may not be drawn to scale.

the figure was created by repeatedly reflecting triangle nmp. what is the perimeter of the figure? 36 in. 42 in. 44 in. 48 in. 6 in. m n 8 in. 4 in. p figure may not be drawn to scale.

Answer

Explanation:

Step1: Identify side - lengths of the original triangle

The side - lengths of triangle NMP are (NM = 6) in, (MP=4) in, and (NP = 8) in.

Step2: Observe the perimeter composition

The figure is created by reflecting triangle NMP. The perimeter of the figure is composed of 6 equal - length segments. Each segment is equal to the sum of the side - lengths of triangle NMP. The sum of the side - lengths of triangle NMP is (6 + 4+8=18) in.

Step3: Calculate the perimeter

The perimeter (P) of the figure is (2\times(6 + 4 + 8)). Since the figure is symmetric and composed of two sets of the sum of the side - lengths of the original triangle, (P=2\times18 = 48) in.

Answer:

48 in.