Question

Triangle ABC is isosceles. It is reflected across the x-axis and then translated left 7 units to form triangle A'B'C'.0 For A-C, select True or False for each statement.A. Angle A has the same measure as angle C'.B. Side BC is the same length as side B'A'.C. Side CA is the same length as side C'B'.

Answer 1

The triangle ABC on the right of the graph has sides BA equal to side BC, because it is an isosceles triangle (two of its sides are equal).

When its reflected across the x-axis and then translated 7 units left, the new image A'B'C' is also an isosceles triangle with the equal sides being B'A' and B'C'. Therefore;

(A) Angle A has the same measure as angle C' - This is true, because angle A is opposite one of the equal sides while angle C' is also facing on of the equal sides.

(B) Side BC is the same length as side B'A' - This is true, because side BC is one of the equal sides, same as side B'A'

(C) Side CA is the same length as side C'B'- This is false because side CA is the shorter side of the isosceles triangle ABC, while C'B' is one of the equal sides of triangle A'B'C'