Point M and N, with symmetry about point O, go to points M1 and N1. MN = 9cm. What is the length of M1N1?

univerkov | June 22, 2021 | education

Since points M1 and H1 are projections of points M and H relative to point O, the lengths of the segments OM = OM1, OH = OH1.

In triangles ОМН and ОМ1Н1 the angle МН = М1ОН1 as vertical angles at the intersection of straight lines ММ1 and НН1.

Then the triangles MON and M1OH1 are equal on two sides and the angle between them, the first sign of equality of triangles.

Then М1Н1 = МН = 9 cm.

Answer: The length of the segment M1H1 is 9 cm.

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