Question

Which of the following coordinates are sufficient to show that ABC~QPR?

Answer 1

Step 1:

The sum of angles in a triangle is 180 degrees:

`\begin{gathered} m\angle A\text{ + m}\angle B\text{ + m}\angle C\text{ = 180} \\ \\ 63\text{ + m}\angle B\text{ + 81 = 180} \\ \\ m\angle B\text{ = 180 - 63 - 81} \\ \\ m\angle B\text{ = 36} \end{gathered}`

Step 2

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.

Side RA = 4.5

Final answer

`\begin{gathered} m\angle Q\text{ = 63} \\ RP\text{ = 4.5} \\ m\angle R\text{ = 81} \end{gathered}`