You must be logged in to see worked solutions.

Already have an account? Log in here.

Symmetries are one of the most beautiful part of Geometry. Slide into reflections, rotations, translations, and more, and you'll be on your way to geometric artistry.

The lengths of the lines in the above figure (a half house) are as follows: \[\lvert \overline{AB} \rvert = 9, \lvert \overline{BC} \rvert = 3,\]\[ \lvert \overline{CD} \rvert = 3, \lvert \overline{DE} \rvert = 3, \lvert \overline{EA} \rvert = 12.\] If the shape is flipped across the line segment \(\overline{AE}\) to complete a house, what will be the perimeter of the house?

You must be logged in to see worked solutions.

Already have an account? Log in here.

You must be logged in to see worked solutions.

Already have an account? Log in here.

You must be logged in to see worked solutions.

Already have an account? Log in here.

If rectangle \(ABCD\) in the above graph is reflected in the line \(y = -1,\) what is the image of point \(D?\) The side length of each square in the graph paper is \(1.\)

You must be logged in to see worked solutions.

Already have an account? Log in here.

In the above diagram, shape \(B\) on the right is the reflection of shape \(A\) in the red line. Given the following numbers: \[L = 48, \quad N = 3, \quad M = 6\] in the diagram, what is the value of \(a - b + c - d?\)

You must be logged in to see worked solutions.

Already have an account? Log in here.

×

Problem Loading...

Note Loading...

Set Loading...