MATH SOLVE

4 months ago

Q:
# 10 points pls help!Triangle ABC is transformed to triangle A′ B′ C′, as shown belowA coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A triangle ABC has A at ordered pair 3, 0, B at ordered pair 4, negative 2, C at ordered pair 1, negative 3. A triangle A prime B prime C prime has A prime at ordered pair negative 3, 0, B prime at ordered pair negative 4, negative 2, C prime at ordered pair negative1, negative 3.Which equation shows the correct relationship between the measures of the angles of the two triangles?The measure of angle ABC = The measure of angle B prime C prime A primeThe measure of angle ABC = The measure of angle C prime A prime BThe measure of angle BCA = The measure of angle C prime A prime B primeThe measure of angle BCA = The measure of angle B prime C prime A prime

Accepted Solution

A:

Answer:The measure of angle BCA = The measure of angle B prime C prime A primeStep-by-step explanation:we know thatThe transformation of the figure is a reflection, so after the transformation the shape still has the same size, area, angles and line lengths.the triangles ABC and A'B'C' are congruentthereforethe corresponding sides and corresponding angles are equalsoThe relationship between the measures of the angles of the two triangles is [tex]m<ABC=m<A'B'C'[/tex][tex]m<BCA=m<B'C'A'[/tex][tex]m<BAC=m<B'A'C'[/tex]