4.(02.07) The figure shows two parallel lines AB and DE cut by the transversals AE and BD:
А
B
2
3
С
4
6
5
D
E
Which statement best explains the relationship between AABC and AEDC? (4 points)
AABC - AEDC, because m2 = m26 and mZ1 = m25
AABC - AEDC, because m3 = m26 and 21 = m24
AABC = AEDC, because m 23 = m 24 and 21 = m 25
AABC: AEDC, because m 23 = m 26 and mZ1 = m24

24+x=y

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)