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Answer :
The statements that are true are:
→ Line Segment KL ≅ Line Segment JM
→ Quadrilateral JKLM is a trapezoid.
What is a trapezoid?
A trapezoid is a quadrilateral with at least one pair of parallel sides. The parallel sides are called the bases of the trapezoid, and the non-parallel sides are called the legs.
According to the given information
In the quadrilateral JKLM
Using the distance formula, we can find the lengths of the line segments:
JK = √[(7-3)² + (8-5)²] = √58
KL = √[(13-7)² + (5-8)²] = √58
LM = √[(13-13)² + (0-5)²] = 5
JM = √[(13-3)² + (0-5)²] = √109
From this, we can analyze each statement:
a.) Line Segment KL ║ Line Segment JM
We can see from the sketch that the two line segments are not parallel. Therefore, statement a is false.
b.) Line Segment KL ≅ Line Segment JM
We found that the length of KL is equal to the length of JM. Therefore, statement b is true.
c.) Line Segment JK ≅ Line Segment LM
We can see from the sketch that the two line segments are not congruent. Therefore, statement c is false.
d.) Line Segment JK ║ Line Segment LM
We can see from the sketch that the two line segments are perpendicular. Therefore, statement d is false.
e.) Quadrilateral JKLM is a trapezoid.
A trapezoid is defined as a quadrilateral with at least one pair of parallel sides. We can see from the sketch that line segments KL and JM are not parallel, but line segments JK and LM are parallel. Therefore, statement e is true.
f.) Quadrilateral JKLM is an isosceles trapezoid.
An isosceles trapezoid is defined as a trapezoid with congruent base angles and congruent non-parallel sides. We can see from the sketch that neither the base angles nor the non-parallel sides are congruent. Therefore, statement f is false.
Therefore, the statements that are true are b and e.
To know more about the trapezoid visit:
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Rewritten by : Barada
Answer:
A) KL⎯⎯⎯⎯⎯∥JM⎯⎯⎯⎯⎯
C) JK⎯⎯⎯⎯⎯≅LM⎯⎯⎯⎯⎯⎯
E) Quadrilateral JKLM is a trapezoid.
F) Quadrilateral JKLM is an isosceles trapezoid.
Step-by-step explanation:
These where the correct answer I got when taking the assignment with that question
