2. Using only a straightedge and a compass, construct the image of AEFG after a rotation by 180° about point K shown. Leave all

Question

2 years ago

13

construction marks. Mark the image AE'F'G'. E k K F G

1 answer:

Vera_Pavlovna [14] · Answer 1 · 2023-01-24T10:18:00+03:00

When a point is rotated, it must be rotated around a point.

See attachment for the image of the rotation about point K

The given parameters are:

$\mathbf{\triangle EFG}$

The angle of rotation is

$\mathbf{\theta= 180^o}$

The above angle of rotation means that:

The translated triangle will be 180 degrees from $\mathbf{\triangle EFG}$ about point K.

It also means that:

$\mathbf{\triangle EFG}$ and $\mathbf{\triangle E'F'G'}$ will be equidistant from point K

See attached image for $\mathbf{\triangle E'F'G'}$