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The relationship between segment AC and segment A double prime C double prime is AC = A''C'' /2.
<h3>What is a Scale Factor ?</h3>The ratio by which the new image is bigger or smaller than the original image is the scale factor.
It is given that
Triangle A″B″C″ is formed using the translation (x + 0, y + 2)
and the dilation by a scale factor of 2 from the origin.
coordinate plane with triangle ABC at A (- 3, 3), B (1, - 3), and C (- 3, -3).
segment AC is equal to A''C'' over 2
Scale factor = 2
The coordinates are
A (- 3, 3), B (1, - 3), and c (- 3, -3) is translated using (x + 2, y + 0),
new coordinates
A'(- 1, 3), B'(3, - 3), and C'(- 1, -3).
The dilation by a scale factor of from the origin
A″ (-2, 6), B″ (6, -6) and C″(-2, -6)
By the distance formula
AB =
A''B'' = = 2
Therefore
AB = A''B'' /2
Similarly AC = A''C'' /2
The relationship between segment AC and segment A double prime C double prime is AC = A''C'' /2.
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The value of x in the triangle is 70°
<h3>What is a scalene triangle?</h3>A scalene triangle is a plane figure that has 3 different length sides and 3 different angles. The sum of all the angles in a scalene triangle is equal to 180°
i.e
- Let's assume that angle y = 60° and angle z = 50°
Then;
x + 110° =180°
x = 180° - 110°
x = 70°
Learn more about scalene triangle here: