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file:///C:/266ABE89/Constructions(useafter4.3)_files/pres.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C97B01.80F76350 Content-Location: file:///C:/266ABE89/Constructions(useafter4.3)_files/slide0001.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Warm up
Warm up=
Tell whether each pair of triangles are congruent.  How do you know?
Simplify:=
1.  √72
2.&n= bsp; √84
3.&n= bsp; √36
Solve:
4.√(39x + 40) = =3D x  (hint: square both = sides first then factor) <= /span>
5.(x + 1) =3D √(x + 3)  (hint:  square both sides then factor)
1.±6 √2
2.±2 √21
3.±6
<= span style=3D'color:#333399;mso-color-index:5;visibility:hidden'>4. =
4.40 and -1
<= span style=3D'color:#333399;mso-color-index:5;visibility:hidden'>5. =
5.-2 and 1
<= span style=3D'color:#333399;mso-color-index:5;visibility:hidden'>6. =
6.No.  AAA is not a postulate or theorem.
7.Yes.  AAS.
8.No.  SSA is not a postulate or theorem.
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Constructions
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♥Paper
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♥Straightedge
♥Compass
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Segment construction
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Try another one
<= span style=3D'mso-special-format:bullet;position:absolute;left:-4.34%'>♥<= /span>Draw segment LM
<= span style=3D'mso-special-format:bullet;position:absolute;left:-3.71%'>♥<= /span>Follow the steps from before to create L’M’
♥
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LetR= 17;s construct an angle
= •<= /span>Using your straightedge create an acute angle.  Label <= span style=3D'font-size:75%'>the vertex P.
•<= /span>To construct it’s duplicate:
♥Draw a ray with your straightedge with endpoint P’
♥<= /span>Use the compass with pointy on P, and swoop
♥<= /span>DO NOT CHANGE THE COMPASS and swoop = again with the pointy on P’
♥Label the points of intersection A a= nd W and A’, W’ – although we are not sure where A’ is.
♥<= /span>With the compass, measure AW, do a mini-swoop.  Transfer that measurement to A’W’ and mini-swoop.
♥<= /span>The point of intersection, between y= our two mini-swo= ops is A’.
♥<= /span>Draw the ray P’A’=
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Let’s do it again
•<= /span>Draw an obtuse angle with vertex A
•<= /span>Follow the steps from before using M and C as the points on the rays.
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Constructing an equilateral triangle
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