Match this proof with these choices

Step-by-step explanation:

What is not indicated is that triangle DEF has been / will be constructed onto angle ABC, thus creating three pairs of parallel lines.

However, to furnish a proper geometrical proof, we need also to prove that these lines are parallel.   The given "proof" assumes that the lines are parallel.

In any case, the following is the best we can do, under the given conditions.

A. AB/DE = AC/DF = BC/EF   (given)

B. DF // AC (construction of DEF onto ABC

C. Angle A congruent angle D, and angle C congruent to angle F

    (Corresponding angles of parallel lines)

D. ABC ~ DEF  (AA similarity Theorem)

b. the decimal could be two-tenths.

step-by-step explanation:

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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