Question

Help me please ahhhhh

Answer 1

ST=23

RU=8

SV=5

SU=10

Step-by-step explanation:

RT bisects the whole quadrilateral, so a line on one side will be the same length as the line on the opposite side of RT. So:

1. ST=UT, UT=23, so ST=23

2. RU=RS, RS=8, so RU=8

3. SV=VU, VU=5, so SV=5

4. SU=2*SV, 5*2=10, so SU=10

If you still have no clue, just imagine the points R, S, T, and the lines connecting them (this will make a triangle). Then reflect the triangle across line RT, and name the new S point U (the new triangle still has the same line measures) . Make a line from S to U and make a point V from where RT and SU meet. This will make the figure in the picture.

Have a nice day! :)

Answer 2

Answers:

• ST = 23
• RU = 8
• SV = 5
• SU = 10

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Step-by-step explanation:

Focus on triangles SVT and UVT.

They are congruent triangles due to the fact that SV = VU and VT = VT. From there we can use the LL (leg leg) theorem for right triangles to prove them congruent.

Since the triangles are the same, just mirrored, this means ST = UT = 23.

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Following similar reasoning as the previous section, we can prove triangle RVU = triangle RVS.

Therefore, RS = RU = 8

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SV = VU = 5 because RT bisects SU.

Bisect means to cut in half. The two smaller pieces are equal.

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SU = SV + VU = 5+5 = 10

Refer to the segment addition postulate.