Therefore its proved that VUTS is a parallelogram. Step-by-step clarification: Since SVX UTX AND SVTU In the same triangles SVX and UTXTVS =UTV and VSU =SUT as theyre alternate angles subsequently VXS=UXT. Since all angles of those triangles are similar then sides of those triangles might be of similar size.Due to this fact SV=TU. Equally in triangles UXV and SXT VSU=SUT (alternate angles) then UST=SUV (remaining angles of VST and TUV). And SVT = UTV then TVU=VTS (remaining angles of SVU and UTS) Since these angles are alternate angles subsequently VUST. And we all know all angles of UVX are equal to angles of SXT Due to this fact sides of those triangles might be equal VU= ST. Now we are able to say that sides ST and VU are parallel and equal. Since all reverse sides of VSTU are equal and parallel to one another subsequently VSTU is a parallelogram.

Therefore its proved that VUTS is a parallelogram. Step-by-step clarification: Since SVX UTX AND SVTU In the same triangles SVX and UTXTVS =UTV and VSU =SUT as theyre alternate angles subsequently VXS=UXT. Since all angles of those triangles are similar then sides of those triangles might be of similar size.Due to this fact SV=TU. Equally in triangles UXV and SXT VSU=SUT (alternate angles) then UST=SUV (remaining angles of VST and TUV). And SVT = UTV then TVU=VTS (remaining angles of SVU and UTS) Since these angles are alternate angles subsequently VUST. And we all know all angles of UVX are equal to angles of SXT Due to this fact sides of those triangles might be equal VU= ST. Now we are able to say that sides ST and VU are parallel and equal. Since all reverse sides of VSTU are equal and parallel to one another subsequently VSTU is a parallelogram.

Therefore its proved that VUTS is a parallelogram. Step-by-step clarification: Since SVX UTX AND SVTU In the same triangles SVX and UTXTVS =UTV and VSU =SUT as theyre alternate angles subsequently VXS=UXT. Since all angles of those triangles are similar then sides of those triangles might be of similar size.Due to this fact SV=TU. Equally in triangles UXV and SXT VSU=SUT (alternate angles) then UST=SUV (remaining angles of VST and TUV). And SVT = UTV then TVU=VTS (remaining angles of SVU and UTS) Since these angles are alternate angles subsequently VUST. And we all know all angles of UVX are equal to angles of SXT Due to this fact sides of those triangles might be equal VU= ST. Now we are able to say that sides ST and VU are parallel and equal. Since all reverse sides of VSTU are equal and parallel to one another subsequently VSTU is a parallelogram.

2 is a given which is (SV | | TU) I need assistance with the others. Step-by-step clarification:

UVTS is a parallelogram.

Additional clarification:

A definition and a theorem can be utilized as a cause in a two-column proof.

Parallelogram is a sort of quadrilateral wherein reverse sides are equal and parallel.

Given:

Clarification:

Full two column proof.

The primary assertion is is given.

The second assertion might be and its given.

The third assertion might be and the reason being that the corresponding components of congruent triangles are equal.

The assertion 4 is VUTS is a parallelogram and the reason being {that a} pair of reverse sides is equal.

and implies that the other sides are equal and parallel. Due to this fact, UVTS is a parallelogram.

UVTS is a parallelogram.

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Grade: Excessive Faculty

Topic: Arithmetic

Chapter:Triangles

Key phrases: triangle, two column proof, congruent, congruent triangles, parallelogram, UVTS, alternate angles, equal sides, equal angles, given, line, SV, TU, SVX, UTX, reverse sides are equal, reverse sides are parallel.

Step-by-step clarification: WE have to finish the 2 column proof GIven that Triangle SVX=UTX and SV||TU 2) SV||TU Given 3) Angle USV = angle SUT Alternate angles for parallel strains property 3a) SV=TU Congruence property for triangles 4) VUTS is a parallelogram A pair of reverse aspect is parallel and equal Thus we discover that since SV is the same as TU and likewise parallel to TU, by property of parallelograms that the quadrilateral VUTS is a parallelogram

This post is last updated on hrtanswers.com at Date : 1st of September – 2022