Presentation on theme: "Sarah Scheuer, Brian Waronker Dean Smith"— Presentation transcript:
1Sarah Scheuer, Brian Waronker Dean Smith 8.4 – 8.6Sarah Scheuer,Brian WaronkerDean Smith
2Introduction to 8.4Side-Splitting Theorem – A line parallel to one side of the triangle divides the other two sides proportionally.
3Practice Question Solve for X using the side splitting theorem. > ANSWER: 12 = 15X 12x = 240; X = 201215>16X>
4Important Things To Know Two-Transversal Proportionality Corollary – Three or more parallel lines divide two intersecting transversals proportionally.AWBXCY
58.5 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
68.6 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
7Practice 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?