Published on March 11, 2014
GT Geom 3/11/14 • Turn in CW/HW from yesterday on the book shelf. • Pass out papers in the bin. If you turn something into me it should have a grade on when you get it back. If you don’t turn it in to me you don’t get a grade.
Given Prove RSPQ// QT SQ PT RP R P T Q S
Objective •Students will prove and apply the side- splitter theorem and other similarity properties.
Side-splitter Theorem •A line parallel to one side of a triangle divides the other two sides proportionally
Use the side-splitter to solve for x and y: 6 18 x 6 y
Check It Out! Example 1 Find PN. Substitute in the given values. Cross Products Prop.2PN = 15 PN = 7.5 Divide both sides by 2. Use the Triangle Proportionality Theorem.
Example 2: Verifying Segments are Parallel Verify that . Since , by the Converse of the Triangle Proportionality Theorem.
Check It Out! Example 2 AC = 36 cm, and BC = 27 cm. Verify that . Since , by the Converse of the Triangle Proportionality Theorem.
Two Transversal Proportionality Corollary •Two or more parallel lines divide two transversals proportionally c d a b a b = c d
So, you might want to ask yourself:• Can I find x? • NO YOU MUST KNOW LINES ARE // x 3 5 9
Solve for x 5x 15 3x 4x
Triangle Angle-Bisector Theorem • If a ray bisects an angle of a triangle then it divides the opposite side into segments proportional to the other two sides
The previous theorems and corollary lead to the following conclusion.
Example 4: Using the Triangle Angle Bisector Theorem Find PS and SR. by the ∆ Bisector Theorem. x = 30 PS = x – 2 SR = x + 5 = 30 – 2 = 28 = 30 + 5 = 35
Installation of new drainage systems and reshaping of “splitter” island Rushden Redevelopment 2014.
1.GT Geom 3/11/14 • Turn in CW/HW from yesterday on the book shelf. • Pass out papers in the bin. If you turn something into me it should have a grade ...
8004 side splitter 2014 1.GT Geom 3/11/14 • Turn in CW/HW from yesterday on the book shelf. • Pass out papers in the bin. If you turn something into me ...
Mechanical specs 8004 h-m10 dec 5-08. by tslavin. on Nov 07, 2014. Report Category: Documents. Download: 0 Comment: 0. 228. views. Comments. Description ...
Mechanical specs 8004 h-m9 dec 5-08. by tslavin. on Nov 07, 2014. Report Category: Documents
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