Please help >.<

RainbowPanda  Feb 19, 2018

2+0 Answers


1) Triangle PQR~Triangle PUT, not similar.

2) Triangle TUV~Triangle TDE, similar.

3) Triangle EDC~Triangle JKL, similar.

Are my answers correct??

RainbowPanda  Feb 19, 2018
edited by RainbowPanda  Feb 19, 2018

1)  " Triangle PQR~Triangle PUT, not similar. "

This says, "triangle PQR is similar to triangle PUT, not similar."


If they are not similar then we can't make a similarity statement!

But these triangles actually are similar...


∠PQR  ≅  ∠PUT   because they both are marked by a red line, and

∠QPR  ≅  ∠UPT   because they are vertical angles.


Since two of the angles are the same, the triangles are similar.





∠VTU  ≅  ∠DTE  because they are vertical angles.


If these triangles are similar, then this must be true of the sides adjacent to the angle we know is shared by both triangles:


\(\frac{\text{shorter side of first triangle}}{\text{shorter side of second triangle}}\,=\,\frac{\text{longer side of first triangle}}{\text{longer side of second triangle}} \\~\\ \frac{19}{63}\,=\,\frac{27}{98} \)


Since this is not true, the triangles are not similar.



If the triangles are similar, then this must be true:


\(\frac{32}{56}\,=\,\frac{40}{70}\,=\,\frac{48}{84} \\~\\ \frac47\,=\,\frac47\,=\,\frac47\)


Since this is true, the triangles are similar.



hectictar  Feb 19, 2018

5 Online Users

New Privacy Policy (May 2018)

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. Please click on "Accept cookies" if you agree to the setting of cookies. Cookies that do not require consent remain unaffected by this, see cookie policy and privacy policy.