# Sarah Scheuer, Brian Waronker Dean Smith

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Sarah Scheuer, Brian Waronker Dean Smith
8.4 – 8.6 Sarah Scheuer, Brian Waronker Dean Smith

Introduction to 8.4 Side-Splitting Theorem – A line parallel to one side of the triangle divides the other two sides proportionally.

Practice Question Solve for X using the side splitting theorem. >
ANSWER: 12 = 15 X 12x = 240; X = 20 12 15 > 16 X >

Important Things To Know
Two-Transversal Proportionality Corollary – Three or more parallel lines divide two intersecting transversals proportionally. A W B X C Y

8.5 Indirect Measurement and Additional Similarity Theorems
Proportional Altitude Theorem- If two triangles are similar, then their corresponding altitudes have the same ratio as their corresponding sides Proportional Medians Theorem- if two triangles are similar, then their corresponding medians have the same ratio as their corresponding sides Proportional Angle Bisectors Theorem- if two triangles are similar, then their corresponding angle bisectors have the same ratio as the corresponding sides Proportional Segments Theorem- an angle bisector of a triangle divides the opposite side into two segments that have the same ratio as the other two sides

8.6 Area And Volume Ratios Ratios Of Areas of similar Figures
Side of square A and side of square B = 3/1 Area of square A and area of Square B = (3/1) squared. Ratios Of Volumes Edge of cube A and edge of cube B = 3/1 Volume of cube A and volume of cube B = (3/1) cubed.歳汣耀ǨRatios O

Practice Questions The ratio of corresponding edges of two similar pyramids is 7/5.･What is the area of their bases?･What is their volumes?The Height of two similar cones is 7/9･What is their radii?･What ist heir volumes?･What is their area and base?

PRACTICE QUIZ Find x

Quiz continued The ratio of the sides of two similar triangles is 1/3. What is the ratio of their areas????

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