Chapter 4.1, Problem 19CE

To determine

To name: the coordinates of a point $G$ such that $\Delta ABC\cong \Delta EFG$ . To find another location for $G$ such that $\Delta ABC\cong \Delta EFG$ .

Answer to Problem 19CE

The location of $G$ can also be under $\overline{EF}$ .

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 point $G$ such that $\Delta ABC\cong \Delta EFG$ is $\left(6,5\right)$

Yes, the location of $G$ can also be under $\overline{EF}$ .