Presentation on theme: "Sarah Scheuer, Brian Waronker Dean Smith"— Presentation transcript:
1 Sarah Scheuer, Brian Waronker Dean Smith 8.4 – 8.6Sarah Scheuer,Brian WaronkerDean Smith
2 Introduction to 8.4Side-Splitting Theorem – A line parallel to one side of the triangle divides the other two sides proportionally.
3 Practice Question Solve for X using the side splitting theorem. > ANSWER: 12 = 15X 12x = 240; X = 201215>16X>
4 Important Things To Know Two-Transversal Proportionality Corollary – Three or more parallel lines divide two intersecting transversals proportionally.AWBXCY
5 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 sidesProportional Medians Theorem- if two triangles are similar, then their corresponding medians have the same ratio as their corresponding sidesProportional Angle Bisectors Theorem- if two triangles are similar, then their corresponding angle bisectors have the same ratio as the corresponding sidesProportional 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
6 8.6 Area And Volume Ratios Ratios Of Areas of similar Figures Side of square A and side of square B = 3/1Area of square A and area of Square B = (3/1) squared.Ratios Of VolumesEdge of cube A and edge of cube B = 3/1Volume of cube A and volume of cube B = (3/1) cubed.歳汣耀ǨRatios O
7 Practice QuestionsThe 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?