similarity statement

[logistic_guy]

Determine whether the triangles are similar. If they are, write a similarity statement.

 

[pka]

Determine whether the triangles are similar. If they are, write a similarity statement.

View attachment 39015

Similar triangle have the angles of the same measure.
What is the $m(\angle YZX)=?$
What is the $m(\angle YUW)=?$
Now what you say about $\Delta YZX\ \&\ \Delta YWU$???

 

[The Highlander]

This help?

​

 

[logistic_guy]

Thanks for the share professor pka.

What is the $m(\angle YZX)=?$

$\displaystyle \angle YZX = 180^{\circ} - 85^{\circ} - 45^{\circ} = 180^{\circ} - 130^{\circ} = 50^{\circ}$

What is the $m(\angle YUW)=?$

$\displaystyle \angle YUW = 180^{\circ} - 85^{\circ} - 50^{\circ} = 180^{\circ} - 135^{\circ} = 45^{\circ}$

Now what you say about $\Delta YZX\ \&\ \Delta YWU$???

$\displaystyle \Delta YZX \sim \Delta YWU$

This help?

View attachment 39017​

More than what you think. Thanks professor The Highlander for the share.

Which one of these statements is correct after I show the two triangles are similar.

1. Is it enough to just write

$\displaystyle \Delta YZX \sim \Delta YWU$?

2.
$\displaystyle \Delta YZX \sim \Delta YWU$
$\displaystyle \angle Y \cong \angle Y$
$\displaystyle \angle W \cong \angle Z$
$\displaystyle \angle U \cong \angle X$

Also is it wrong to say
$\displaystyle \Delta YZX \cong \Delta YWU$
or
$\displaystyle \Delta YZX = \Delta YWU$
or
$\displaystyle \angle W = \angle Z$
?

 

[khansaheb]

ΔYZX=ΔYWU

That would be INCORRECT.