Chapter 4.1, Problem 20CE

To determine

To name: the coordinates of two points $H$ such that $\Delta ABC\cong \Delta FEG$ .

Answer to Problem 20CE

The coordinates of two possible points of $H$ is $\left(7,5\right)$ above $\overline{EF}$ and $\left(7,1\right)$ below $\overline{EF}$ .

Explanation of Solution

Given information:

Given graph,

  

Calculation:

The two triangles are said to be congruent if they are copies of each other and if their vertices are superposed, then say that the corresponding angles and the sides of the triangles are congruent.

Refer to the graph given in text book.

Coordinates of point $A,B$ and $C$ are $\left(1,2\right),\left(4,2\right)$ and $\left(2,4\right)$ respectively.

The coordinates of two possible points of $H$ is $\left(7,5\right)$ above $\overline{EF}$ and $\left(7,1\right)$ below $\overline{EF}$ .