WILL MARK BRANLIEST IF GOTTEN RIGHT

Mathematics

1 answer:

sveticcg [70]2 years ago

3 0

Answer:

There is not enough information to prove the congruence

Step-by-step explanation:

There is not enough information to prove the congruence because we would need to be given at least 3 equal elements (angles and sides) between the triangles. But in this problem we are only given the fact that 2 sides are equal in both triangles, which as I mentioned earlier is not enough.

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Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.

Elina [12.6K]

Answer:

Step-by-step explanation:

Statement Reason:

1) The coordinates of point D are (4, 5) and coordinates of point E are (5, 3) By the midpoint formula

2) Length of segment DE is Square root of 5 and length of segment AC is 2 multiplied by the square root of 5 By the distance formula

3) Segment DE is half the length of segment AC By substitution

4) Slope of segment DE is -2 and slope of segment AC is -2 by the slope formula

5) Segment DE is parallel to segment AC Slopes of parallel lines are equal...

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