Matthew is constructing a triangle TRS congruent to triangle UVW. First, he marked a point T. With the length of UW as the width of the compass, he drew an arc from point T and marked a point on the arc as S. With the length of half of UV as the width of the compass, he drew an arc from point T. Which statement about the arc drawn in the last stepis true?
It is incorrect because the width of the compass should be equal to UV.

It is correct because it can be used to make side TR congruent to side UV.

It is incorrect because TS will not be congruent to UW because a ruler was not use

Question

Matthew is constructing a triangle TRS congruent to triangle UVW. First, he marked a point T. With the length of UW as the width of the compass, he drew an arc from point T and marked a point on the arc as S. With the length of half of UV as the width of the compass, he drew an arc from point T. Which statement about the arc drawn in the last stepis true? 
It is incorrect because the width of the compass should be equal to UV.
		
It is correct because it can be used to make side TR congruent to side UV.
		
It is incorrect because TS will not be congruent to UW because a ruler was not use

anonymous · Answer

4th answer It is correct because the use of compass preserves the congruency in angle measure of angle RTS and angle VUW.