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The acute angles of the right isosceles triangle are congruent. You rotate the triangle 135° counterclockwise about the origin. What is the measure of each acute angle after the rotation? What is the length of the two congruent sides after the rotation? (How many units)

Triangle coordinates: (0,-3), (-4,-3), (-4,1)

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sqdancefan

Answer:

  • 45°
  • 4 units

Step-by-step explanation:

Rotation changes nothing about the geometric relationships within the figure. Angle measures are unchanged; side lengths are unchanged.

The acute angles of an isosceles right triangle are (180° -90°)/2 = 45°. This is true regardless of the orientation of the triangle with respect to any coordinate axes.

The measures of the legs of your triangle are 0 -(-4) = 4 = (1 - (-3)). Rotating the figure any amount in any direction around any center doesn't change that.

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