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8.4 Proportionality Theorems

8.4 Proportionality Theorems. Geogebra Investigation. Draw a triangle ABC. Place point D on side AB. Draw a line through point D parallel to BC. Place E on the intersection that line and AC. Find the lengths of AD, BD, AE, CE using the length tool (8 th from left).

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8.4 Proportionality Theorems

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  1. 8.4 Proportionality Theorems

  2. Geogebra Investigation • Draw a triangle ABC. • Place point D on side AB. • Draw a line through point D parallel to BC. • Place E on the intersection that line and AC. • Find the lengths of AD, BD, AE, CE using the length tool (8th from left). • Find the ratio of AD to BD and AE to CE. • Adjust the triangle with the arrow tool and repeat step 5 until you can make a conjecture.

  3. Construct a triangle ABC. • Construct an angle bisector for angle B. • Place point D where the angle bisector intersects with side AC. • Find the lengths of AD, DC, BA and BC. • Find the ratio of AD to DC and BA to BC. • Adjust the triangle with the arrow tool and repeat step 5 until you can make a conjecture.

  4. Try this problem on your own…

  5. Try this on your own…

  6. Try this on your own…

  7. Guided Practice

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