which transformation maps trapezoid abcd onto itself using a line of symmetry? use the drop - down menus to…

which transformation maps trapezoid abcd onto itself using a line of symmetry? use the drop - down menus to explain your answer. click the arrows to choose an answer from each menu. the line that passes through the midpoints of choose... is a line of symmetry of trapezoid abcd. trapezoid abcd is mapped onto itself if the figure is choose... the line of symmetry.

which transformation maps trapezoid abcd onto itself using a line of symmetry? use the drop - down menus to explain your answer. click the arrows to choose an answer from each menu. the line that passes through the midpoints of choose... is a line of symmetry of trapezoid abcd. trapezoid abcd is mapped onto itself if the figure is choose... the line of symmetry.

Answer

Explanation:

Step1: Recall line - symmetry concept

A line of symmetry divides a figure into two congruent parts such that the figure is mapped onto itself when reflected over that line. For an isosceles trapezoid (which this appears to be as non - parallel sides are equal), the line of symmetry passes through the mid - points of the bases.

Step2: Identify bases of trapezoid

The bases of trapezoid (ABCD) are (AB) and (CD). The line that passes through the mid - points of (AB) and (CD) is the line of symmetry.

Step3: Recall transformation type

The transformation that maps a figure onto itself using a line of symmetry is a reflection. When a figure is reflected over its line of symmetry, it is mapped onto itself.

Answer:

The line that passes through the midpoints of (AB) and (CD) is a line of symmetry of trapezoid (ABCD). Trapezoid (ABCD) is mapped onto itself if the figure is reflected over the line of symmetry.