Chapter 13.5, Problem 38SPR

To determine

To determine whether given pair of solids is similar, congruent, or neither.

Answer to Problem 38SPR

The two figures are congruent.

Explanation of Solution

Given information:

  

To figures are congruent when they have exactly same sides.

Figures are similar when all sides of two solids are in same proportion.

In the first figure we find the value of hypotenuse of the right angle triangle using Pythagoras theorem.

We get,

  $\begin{array}{l}{\text{Hypotenuse}}^2=6^2+8^2\\ {\text{Hypotenuse}}^2=100\\ \text{Hypotenuse}=10\end{array}$

Now sides are 6mm, 8mm, 10mm

We can observe that the second figure also have the exactly same sides.

Therefore the two figures are congruent.