Line segment bc will be reflected over line m to form line segment bc. which of the following statements must be true?

a. line m is the perpendicular bisector of line segment bb' and line segment cc'
b. line b'c' is perpendicular to line bc
c. line segment b'c' is parallel to line segment bc
d. the length of line segment bb' s equal to the length of the line segment cc'

Option A

Step-by-step explanation:

To reflect line segment BC over line m, BB' will be perpendicular to the line m

and line m bisector of BB'.

So, the correct answer is option A

A) Line m is the perpendicular bisector of line segment BB' and the line segment CC'

Option b is wrong , it is impossible for the line B'C' to be perpendicular to line BC. B'C' is the image of BC.

Both option c and d is wrong because the perpendicular distance from b to the line m not equal to the perpendicular distance from c to the line m.

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.

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