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!!URGENT PLEASE HELP!!
A line segment has endpoints A(-6, 1) and B(0, 7). When AB is reflected in the y-axis, triangle ABA’ is formed. Graph ABA’ , you will see and you will be able to prove it is a right triangle. Name the parts of the right triangle, identify the two legs and the hypotenuse. And, Explain how you would prove ABA' is a right triangle?

Respuesta :

paigepretty04

Answer:

im not sure i need points though

Step-by-step explanation:

vijayhalder031

The proof is given below

What is right angle triangle?

  • A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangled triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.
  • A right angled triangle is a triangle with one of the angles as 90 degrees

How to solve this problem?

The steps are as follow:

  • Reflection about y-axis

p(x,y) = p'(-x,y)

A(-6,1) = A'(6,1)

  • The longest side is AA' is the hypotenuse
  • The right angle of right triangle is opposite the hypotenuse
  • AB and A'B are the two legs of triangle

AB is opposite side

A'B is adjacent side

  • Length of AA' is 12 units
  • The vertical distance y=6
  • ΔABC = ΔA'BC (both right angle)
  • [tex]A'B=AB=\sqrt{6^{2}+6^{2} }=8.5[/tex]
  • Sin∅=8.5/2
  • ∅ = 45° (Angle between AB and AA')

Hence we can prove that triangle is right angle triangle

Learn more about right angle triangle here:

https://brainly.com/question/64787

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