Assume that lines that appear to be tangents are tangents. Find the value of x.

In the diagram, gef and hef are congruent. what is the value of x

Graph a triangle (xyz) and reflect it over the line y=x to create triangle x’y’z’. describe the transformation using words. draw a line segment from point x to the reflecting line, and then draw a line segment from point x’ to the reflecting line. what do you notice about the two line segments you drew? do you think you would see the same characteristics if you drew the line segment connecting y with the reflecting line and then y’ with the reflecting line? how do you know?

The diagram shows a cuboid abcdefgh abcd is a square with area 25cm². find the volume of the cuboid.