Question

Theorem: A line parallel to one side of a triangle divides the other two proportionately.

In the figure below, segment DE is parallel to segment BC and segment EF is parallel to AB.



Which statement can be proved true using the given theorem?

Segment BD = 32

Segment BD = 36

Segment BF = 15

Segment BF = 18



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Answer 1

i think its bf is 18

Answer 2

hey

Answer 3

yea i believe its bf is 18

Answer 4

you're right :)

Answer 5

yaaay

Answer 6

The figures below show two different ways of arranging four identical triangles of grey poster board on top of a white square. The square has sides equal to x + y, while the hypotenuse of each triangle is represented by the variable c.



Hazel wrote the following statements to prove that c2 = x2 + y2.

1. Area of the grey four triangles inside figure A =
2. Area of the white square inside figure A = c2
3. Area of figure A = c2 + 2xy
4. Area of the four grey triangles inside figure B =
5. Area of the two white squares inside figure B = x2+ y2
6. Area of figure B = x2+ y2 + 2xy
7. Area of figure A = 2 × Area of Figure B, hence c2 + 2xy = 2x2+ 2y2 + 2xy
8. Therefore, c2 = x2+ y2

Which is the first incorrect statement in Hazel’s proof?

Statement 5

Statement 4

Statement 6

Statement 7

Answer 7

can you help me with this

Answer 8

there