John is now standing at the point marked with a

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John is now standing at the point marked with a - slide 1 of 17 John is now standing at the point marked with a - slide 2 of 17 John is now standing at the point marked with a - slide 3 of 17 John is now standing at the point marked with a - slide 4 of 17 John is now standing at the point marked with a - slide 5 of 17 John is now standing at the point marked with a - slide 6 of 17 John is now standing at the point marked with a - slide 7 of 17 John is now standing at the point marked with a - slide 8 of 17 John is now standing at the point marked with a - slide 9 of 17 John is now standing at the point marked with a - slide 10 of 17 John is now standing at the point marked with a - slide 11 of 17 John is now standing at the point marked with a - slide 12 of 17 John is now standing at the point marked with a - slide 13 of 17 John is now standing at the point marked with a - slide 14 of 17 John is now standing at the point marked with a - slide 15 of 17 John is now standing at the point marked with a - slide 16 of 17 John is now standing at the point marked with a - slide 17 of 17
Description: John is now standing at the point marked with a red cross. He wants to walk the shortest possible distance to the hedge. Where should John walk? X Why wouldnt John walk this way to the hedge? X How can we guarantee that we have drawn the

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slide1. John is now standing at the point marked with a red cross.
He wants to walk the shortest possible distance to the hedge.
Where should John walk? X<br>
slide2. Why wouldn’t John walk this way to the hedge? X<br>
slide3. How can we guarantee that we have drawn the shortest possible distance? X<br>
slide4. The shortest possible route makes a right angle with the hedge X<br>
slide5. This type of construction is referred as a perpendicular from a point.<br>
slide6. When constructing a perpendicular from a point
the new path is the
shortest possible distance
from the point to the line<br>
slide7. M Constructing a Perpendicular from a Point<br>
slide8. M Constructing a perpendicular from a point How can we show that the new line is the shortest possible distance from the point M to the line PQ?<br>
slide9. M Measure it! Constructing a perpendicular from a point<br>
slide10. M Constructing a Perpendicular from a Point<br>
slide11. M Constructing a Perpendicular from a Point Would this line be shorter?<br>
slide12. M Constructing a Perpendicular from a Point Why not?<br>
slide13. Construct the perpendicular from each of the given points on the worksheet.

Complete your constructions on the worksheet

Leave in your construction lines The Perpendicular From a Point<br>
slide14. Construct a perpendicular from a point on the following:<br>
slide15. Construct a perpendicular from a point on the following:<br>
slide16. Construct a perpendicular from a point on the following:<br>
slide17. Challenge: Construct a line perpendicular to AB that passes through P
Construct a line perpendicular to CD that passes through P What is the name of the resulting quadrilateral?

Measure its side lengths with a ruler and calculate its area and perimeter<br>