Question

Triangle DEF is rotated 180° about the origin. The image of this transformation is triangle LMN, as shown in the figure.

a
32.
my
M²
E
-8-7-6-5-4-3-2-1 1 2 3 4 5 6 7 8
N
L
Which statement is true? (1 point)
1.) DE≈NM
2.) EF≈ML
3.) 4.)

Answer 1

Explanation:

When a triangle is rotated 180° about the origin, each vertex of the original triangle is transformed to a new location in the coordinate plane. The new triangle formed by these transformed vertices is called the image of the original triangle.

In general, when a point (x,y) is rotated 180° about the origin, it is transformed to the point (-x,-y). Using this rule, we can determine the coordinates of the vertices of the image triangle LMN.

Without more information about the specific coordinates of triangle DEF and its image LMN, it is difficult to determine which statement is true. However, we can make some general observations about triangles under a 180° rotation:

The orientation of the triangle is reversed.

The length of each side remains the same.

The angles between sides are preserved.