The figure below shows two triangles that were constructed using a compass and straightedge. Justin used the ASA postulate to prove that triangle XYZ is congruent to triangle ABC. As part of the proof Justin showed that side YZ is congruent to side BC. Using this congruency, which of these other steps would Justin have likely performed to prove that the two triangles are congruent by the ASA postulate?

Question

anonymous · Answer

attachment

anonymous · Answer

Place the compass on Y and draw an arc that passes through X.

 Place the compass on X and draw an arc to cross side XY at L and side ZX at M . Place the compass on L and set the width of the compass to segment LM.

 Place the compass on X and set the width to side XZ. Place the compass on A and draw an arc to cross side AC at point C.

 Place the compass on Z and draw an arc to cross side YZ at L and side ZX at M. Place the compass on L and set the width of the compass to segment LM.

anonymous · Answer

I don't think it's the first one.

ganeshie8 · Answer

good :) its not first one as it is measuring another side,

ganeshie8 · Answer

we need a step that measures either angle Z, or angle Y

ganeshie8 · Answer

right ?

anonymous · Answer

yes

anonymous · Answer

aren't both the second and third one measure

ganeshie8 · Answer

its not the third one, coz 3rd one is measuring side also

ganeshie8 · Answer

second one for measuring angle  X

ganeshie8 · Answer

so thats not what we need either

anonymous · Answer

Well that only leaves the last one... I actually thought is would be the second one.

ganeshie8 · Answer

second one is measuring angle X, its no use

anonymous · Answer

Ah, I see what you're saying now

anonymous · Answer

Thanks!