Learning Target 4 Name
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Learning Target 4 Name_______________________________________ 5.1 Midsegments Period ___________________ Notes Midsegment of a triangle: Example: MN connects the midpoints of AB and AC MP connects the midpoints of AB and BC NP connects the midpoints of AC and BC Theorem 5.1 – Midsegment Theorem: The segment connecting midpoints of two sides of a triangle is ________________ to the third side and is ________________ as long as that side. For the following problems, !" is a midsegment of ∆!"#. Find the value of x. a. b. c. For the following problems, use ∆!"#, where A, B, and C are midpoints of the sides. a. If !" = 3! + 8 and !" = 2! + 24, what is AB? b. If !" = 3! − 5 and !" = 4! + 2, what is HB? c. If !" = 7! − 1 and !" = 4! − 3, what is GH?
Transcript of Learning Target 4 Name
Learning Target 4 Name_______________________________________ 5.1 Midsegments Period ___________________
Notes
Midsegment of a triangle:
Example:
MN connects the midpoints of AB and AC MP connects the midpoints of AB and BC NP connects the midpoints of AC and BC
Theorem 5.1 – Midsegment Theorem:
The segment connecting midpoints of two sides of a triangle is ________________ to the third side and is ________________ as long as that side.
For the following problems, !" is a midsegment of ∆!"#. Find the value of x. a. b. c.
For the following problems, use ∆!"#, where A, B, and C are midpoints of the sides.
a. If !" = 3! + 8 and !" = 2! + 24, what is AB?
b. If !" = 3! − 5 and !" = 4! + 2, what is HB? c. If !" = 7! − 1 and !" = 4! − 3, what is GH?
LearningTarget4 Name____________________________________________________5.4AltitudesandMedians Period______________
NotesTheMEDIANofatriangleisasegmentconnectingthe tothe oftheoppositeside.Thepointofconcurrencyforthe3mediansiscalledthe_______________________________.Themediansofatriangleintersectatapointthatis thedistancetotheoppositemidpoint.Example:
AnALTITUDEisa___________________________________________connectingavertextothe_________________________sideofthetriangle.Thepointofconcurrencyforthe3altitudesiscalledthe_______________________________.Summary–fillintheblankandshowapictureofeach: The3Perpendicularbisectorsmeetatthe . The3anglebisectorsmeetat .
The3mediansmeetat . The3altitudesmeetat .
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