(REAL ANSWERS PLS, GEOMETRY)
If TU = 6 units, what must be true?


If TU = 6 units, what must be true?


SU + UT = RT

RT + TU = RS

RS + SU = RU

TU + US = RS

REAL ANSWERS PLS GEOMETRY If TU 6 units what must be true If TU 6 units what must be true SU UT RT RT TU RS RS SU RU TU US RS class=

Respuesta :

The first one is the correct one.
RT=12 units
TU=6 units
RS=24
T is the midpoint of the line RS.
So, RT is half of the line, so now you have to add the rest of the line to make it equal to 24. 

Have a nice day :D

Answer:

The correct option is 1.

Step-by-step explanation:

Given information:[tex]TU=6[/tex]

From the given figure it is noticed that

[tex]RT=12[/tex]

[tex]RS=24[/tex]

[tex]RS=RT+TU+SU[/tex]

[tex]24=12+6+SU[/tex]

[tex]6=SU[/tex]

In first option,

[tex]SU+UT=RT[/tex]

[tex]6+6=12[/tex]

[tex]12=12[/tex]

Since left hand side is equal to right hand side, therefore option 1 is correct.

[tex]RT+TU=RS [/tex]

[tex]12+6=24[/tex]

[tex]18=24[/tex]

This statement is not true, therefore option 2 is incorrect.

[tex]RS+SU=RU[/tex]

[tex]24+6=18[/tex]

[tex]30=18[/tex]

This statement is not true, therefore option 3 is incorrect.

[tex]TU+US=RS[/tex]

[tex]6+6=24[/tex]

[tex]12=24[/tex]

This statement is not true, therefore option 4 is incorrect.