3NA Congruence and Similarity

Two figures are similar if they have exactly the same _____ but not necessarily the same size.

What is the scale factor of the two figures?

• 1.2

• 1.71

• 2

• 8.4

 $\Delta ABC$  and  $\Delta PRQ$  are similar, the value of  $\angle PRQ=$  ______ $\degree$  

 $\Delta ABC$  and  $\Delta PRQ$  are similar, the value of  $\angle BAC=$  ______ $\degree$  

Given that $\Delta ABC$ is similar to  $\Delta PRQ,$ find the values of  $x\degree.\$  

Given that $\Delta ABC$ is similar to  $\Delta PRQ,$ find the values of  $y.\$  

Determine the height of the wall $x.$  

Which are the two similar triangles?

• $\Delta ABC\ \&\ \Delta ADE$

• $\Delta ABC\ \&\ \Delta BCDE$

• $\Delta ADE\ \&\ \Delta BCDE$

The scale of a building plan is 1 cm to 50 cm. Calculate the actual length, in meter, of a bedroom if it is represented by a length of 9.2 cm on the plan.

The scale of a building plan is 1 cm to 50 cm.

Calculate the length on the plan that represents an actual length of 28 m.