Question

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Answer 1

One Opposite side pair of a trapezoid has equal length

• KL||JM

A is true

<J is supplement to <K

• B is false
• D is true

JK and LM are not paralle

• C is false

<J is congruent to <M may be true

• Option E is false

May not be

• F is false

Answer 2

A. 
`\sf \overline{KL}` is parallel to
`\sf \overline{JM}`

D. ∠J is supplementary to ∠K

Explanation:

Properties of a trapezoid:

• One pair of parallel sides (the "bases" - top and bottom sides)
• Interior angles sum to 360°
• The two angles that are on the same leg (left and right sides) sum to 180°

Although the sides of the shape do not have any arrows to indicate that any are parallel, we know that a trapezoid has one pair of parallel sides, so:

• 
  `\sf \overline{KL}` is parallel to
  `\sf \overline{JM}`

When two angles sum to 180° they are called supplementary angles.

As the two angles that are on the same leg sum to 180° then:

• ∠J is supplementary to ∠K