If the acute angle made by two intersecting lines l and m is 51° and image ABCD is reflected across the line l followed by a ref

Question

3 years ago

14

If the acute angle made by two intersecting lines l and m is 51° and image ABCD is reflected across the line l followed by a ref

lection across line m, then find the angle through which ABCD is rotated. Question 10 options: A) 25.5° B) 102° C) 26° D) 51°

Mathematics

1 answer:

Svet_ta [14] · Answer 1 · 2022-07-25T21:35:20+03:00

Answer:

B) 102°

Step-by-step explanation:

Reflection is an example of transformation in which a given image is flipped over a reference line which changes the orientation of the figure, but not its length and shape. A rotational transformation is formed by two reflections.

In the given question, image ABCD is reflected over lines I, then m at an angle of 51° to each other. Since rotation is twice the acute angle with respect to the center of rotation, therefore ABCD rotates through an angle of 102°.