Download V is the midpoint of YW, UY is parallel to XW Prove - MOC-FV

Bell Ringer 9
Given: V is the midpoint of YW, UY is parallel to XW
Prove: Triangle UVY is congruent to Triangle XVW
Homework due Monday: 4.6
Pg. 289 ­ 293 (10 ­ 66, every 4th)
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Today's objectives:
­ Use properties of isosceles and equilateral triangles
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Vocabulary Terms:
Legs of Isosceles triangle ­ the two congruent sides
Vertex angle of isosceles triangle ­ angle formed by the legs of the triangle.
Base angles of isosceles triangle ­ two angles formed by the base and the congruent sides
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Congruent Segments and Angles:
Name two congruent unmarked angles:
Name two unmarked congruent segments:
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Find missing measures:
a. Given an isosceles Triangle of XYZ where XY is 8 in and XZ is 8 in. The vertex angle is 60*.
Find m<Y and length of YZ.
b. Given an isosceles Triangle of PMN where MN is 11cm and the vertex angle is 120* (<N).
Find m<M and PN
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Find missing values:
Given Triangle ABC is isosceles, where AB and AC are the legs and AB = 4y ­ 2 and AC = 2y + 2. The vertex angle is 80* and <C = 6x + 8. Find x and y.
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