Point e is the midpoint of side bc of parallelogram abcd, and point f is the midpoint of side ad prove that quadrilateral afce is a parallelogram.

See proof below

Step-by-step explanation:

Theorem: If a quadrilateral has one set of opposite sides which are both congruent and parallel, then it is a parallelogram.

Consider parallelogram ABCD. A parallelogram is a quadrilateral with both pairs of opposite sides parallel. Thus, BC||AD. A parallelogram has 2 sets of opposite sides congruent. Thus, BC=AD.

If E and F are midpoints of sides BC and AD, then halves of these sides are congruent too (CE=FA).

In the quadrilateral AFCE, we have congruent and parallel sides EC and FA. Thus, this quadrilateral is a parallelogram.

the answer is d. (1.2, -4.7) on edgn

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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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