Question

(j) For triangle TOE , the following facts are given:
m of angle – TOS = m of angle SOE
TE = 6 cm
OT = 2 cm
OE = 5.8 cm
OG = 4.35 cm
AU = 0.45 cm

Use this information to answer the following:
(a) Why is triangle OBG ~ triangle OTE?
Now find the following missing lengths. Show all work or reasoning. Round non-integral lengths to the nearest hundredth.
(b) GE
(c) TS
(d) OA
(e) BT (Use the Side-Splitting Theorem)
(f) SE
(g) OU
Answer:

Answer 1

@Directrix here is the whole problem

Answer 2

@mathstudent55 could you help me with this problem?

Answer 3

@zepdrix

Answer 4

a. use proportionalitie of sides like

OB OG BG
--- = --- = --- for example
OT OE TE


for the rest question will be more understandably than you write these dimensions value there on respectivly sides please

Answer 5

I think this may be the diagram with given information.

Answer 6

From the diagram:

a) Why is Triangle OBG congruent to Triangle OTE?

Line BG is given to be parallel to Line TE.

Therefore, <OBG is congruent to < OTE by the postulate that if two parallel lines are cut by a transversal, then correspoinding angles are congruent.

<BOG is congruent to <TOE by the Reflexive Property of Congruence.

Triangle OBG congruent to Triangle OTE by the AA Triangle Similarity Postulate.

OE is given to be 5.8.

OG is given to be 4.35.

By the Segment Addition Postulate, GE = 5.8 - 4.35 = ?

Answer 7

@Poohdessey

There's much more to do but here's a bit of work to help you get started.

Answer 8

@Directrix @jhonyy9 thank you

Answer 9

@Poohdessey they already gave it to u but it will be more easy if u draw the triangles out

Answer 10

@Obeytha_kidd okay I will draw them out and see if that helps.

Answer 11

@mathstudent55 could you help me with a coupple of these and i have questions