To prove: that you can see all of yourself in a mirror that is only half as tall as you are.
Explanation of Solution
Given information:
The given statement is you can see all of yourself in a mirror that is only half as tall as you are.
Proof:
Consider you are standing in front of a mirror of height FH and your height is AE .
Point C represents your eye, A represents top of your head, E represents foot, B is the mid-point between your eye and top of your head, D is the mid-point between your eye and foot, F is the bottom of the mirror, H is the top of the mirror and G is a point in the mirror parallel to your eyes.
Since,
In similar
In similar triangles BCH and CGH
Substitute the values of HG and GF in equation i.
Therefore,
It is proved thatyou can see all of yourself in a mirror that is only half as tall as you are.
Chapter 14 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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