The equation that shows the correct relationship between the measures of the angles of the two triangles is;
Option D: The measure of angle BCA = The measure of angle C prime A prime B prime
<h3>How to Interpret Objects Transformation?</h3>
We are told that Triangle ABC is transformed to triangle A′B′C′.
Now, the triangle ABC and A'B'C' are similar triangles and we know that similar triangles angles are congruent. Thus;
From the given coordinates, we can say that;
∠BAC = ∠B'A'C'
∠ABC = ∠A'B'C'
∠ACB = ∠A'C'B'
Thus, the equation that shows the correct relationship between the measures of the angles of the two triangles is;
The measure of angle BCA = The measure of angle C prime A prime B prime
Read more about Objects Transformation at; brainly.com/question/2512124
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The price of the discount is $25 x 0.15 = $3.75
The price of the book with discount is $25 - $3.75 = $21.25
<h3>
Step-by-step explanation:</h3>
The point of intersection of the perpendicular bisectors of a triangle is the circumcenter, the center of the circle that contains the three triangle vertices.
If that center is on one side, that side must be a diameter of the circle. The diameter cuts the circle into two arcs, each of which measures 180°.
The third vertex of the triangle and its two legs form an inscribed angle that subtends an arc of 180°. The measure of that angle is half the measure of the arc, so the angle measures 90° and is a <em>right angle</em>.
A triangle with a right angle is a right triangle. QED
6×ax+6×by =6ax+6by =3a+2b,6×bx-6×ay=3b-2a=6bx-3a+2b
