“Is it better to be feared or respected? And I say, is it too much to ask for both?”
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Transcript of “Is it better to be feared or respected? And I say, is it too much to ask for both?”
“Is it better to be feared or respected? And I say, is it too much to ask for both?”
7.5: Proportions in Triangles
LT: I will use the Side-Splitter Thm. and the Triangle Bisector Thm.
Side-Splitter Theorem
Theorem 7-4: Side-Splitter Theorem: If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally.
Side-Splitter Theorem
Find the value of x.
Find the value of x.
Corollary to Side-Splitter Theorem
Corollary to Theorem 7-4: If three parallel lines intersect two transversals, then the segments intercepted on the transversals are proportional.
a
bc
d
ApplicationGiven that the edges of the panels of the sails are parallel, find the values of the variables.
You wanna try one? Find the values of the variables in the following figure.
Triangle-Angle-Bisector Theorem
Triangle-Angle-Bisector Theorem: If a ray bisects an angle of a triangle, then it divides the opposite side into two segments that are proportional to the other two sides of the triangle.
Triangle-Angle-Bisector TheoremFind the value of x in the following figure.
Find the value of x in the following figure.
“Don’t worry Wilson, I’ll do all the paddling. You just hang on!”
7.5 Proportions in Triangles
HW 7.5: #1-7, 8-24 even, 25, 27, 31-33
Side-Splitter Proof
Statements Reasons
1.
2.
3.
4.
5.
6.
7.
1.
2.
3.
4.
5.
6.
7.
RS || XY
Given : QXY with RS || XY
Prove : XRRQ
YSSQ
13,2 4
QXY ~ QRS
XQ
RQYQ
SQ
XQXR RQ,YQYS SQ
XR RQRQ
YS SQSQ
XR
RQYS
SQ
Kick it up a notch!!!
Find the value of x.
Kick it up a notch!!!
Find the value of x.