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Alja [10]
2 years ago
5

Given: AD = BC and AD || BC Prove: ABCD is a parallelogram.

Mathematics
1 answer:
vaieri [72.5K]2 years ago
8 0

Answer:BC AND AD is parellogram since it has sides.

Step-by-step explanation:

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Using ruler and compasses only, construct a parallelogram KLMN, so that KL = 8 cm, LM = 6 cm and angle KLM = 135°.​
FromTheMoon [43]

The steps to construct a parallelogram using a ruler and a compass are;

1. Draw a starting line segment <em>l</em> linger than 8 cm.

2. Mark point <em>K</em> on the line segment.

3. Widen the compass to a radius of 8 cm using the ruler.

4. Place the compass at point <em>K</em> and with the 8 cm radius mark point <em>L</em> on the line <em>l</em>.

<em />

5. At point <em>L</em> construct a 45° angle as follows;

  • Draw arcs that intersect line <em>l</em> on both sides of point <em>L.</em>
  • From each of the intersection points, draw arcs that intersect each other on on the upper area adjacent to line <em>l</em><em>.</em>
  • From the intersection point in the previous step, draw a line to point <em>L</em> to get a perpendicular line to line <em>l</em>.
  • Draw arcs to intersect the perpendicular line and line <em>l</em> on the other side of point <em>L</em> from <em>K</em>.
  • From the points the arc intersects the perpendicular line draw arcs of the same radius to intersect at a point <em>X</em> to the right of the perpendicular line.

The above steps bisects the 90° angle of the perpendicular lines.

  • Join point <em>X</em> to point <em>L </em>with a straight line to form ∠XLM = 135° (90° + 45° = 135°)

6. Adjust the radius of the compass to give an opening of 6 cm and from point <em>L</em> draw an arc to intersect XL at <em>M</em>.

7. At point <em>M</em> construct a line YM at 45° angle to the line <em>l</em>.

8. From point <em>M</em> draw an arc to intersect YM and label the point as point <em>N</em>.

9. Join point M and N to complete the construction of the parallelogram KLMN.

Learn more about construction using a compass and a ruler here:

brainly.com/question/1528158?section=similar

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2 years ago
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Tcecarenko [31]

Answer:

40 >_m

Step-by-step explanation:

The answer is circled for you if you were confused.

3 0
3 years ago
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