Question

Complete the similarity statement for the two triangles shown.

Enter your answer in the box.

△DPL∼△ ____

Answer 1

`\bigtriangleup DPL\sim \bigtriangleup QAZ`

Explanation:

In
`\bigtriangleup DPL and \bigtriangleup QAZ`

`(DL)/(QZ)= (25)/(10) = (5)/(2)`

`(LP)/(ZA) =\frac {55}{22} =(5)/(2)`

Therefore,
`(DL)/(QZ) = \frac {LP}{ZA} = (5)/(2)`

Also, from figure
`\angle DLP =\angle QZA`

By SAS property of similarity of triangles

`\bigtriangleup DPL\sim \bigtriangleup QAZ`