Chapter 4.1, Problem 18CE

(a)

To determine

To name: the coordinates of points $A,B$ and $C$ .

Answer to Problem 18CE

Coordinates of point $A=\left(1,2\right)$

Coordinates of point $B=\left(4,2\right)$

Coordinates of point $C=\left(2,4\right)$

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.

So,

Coordinates of point $A=\left(1,2\right)$

Coordinates of point $B=\left(4,2\right)$

Coordinates of point $C=\left(2,4\right)$

(b)

To determine

To name: the coordinates of a points $D$ such that $\Delta ABC\cong \Delta ABD$ .

Answer to Problem 18CE

Coordinates of point $D$ such that $\Delta ABC\cong \Delta ABD$ is $\left(2,0\right)$ .

Explanation of Solution

Given information:

Given graph,

Calculation:

Coordinates of point $D$ such that $\Delta ABC\cong \Delta ABD$ is $\left(2,0\right)$ .