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Triangle Proportionality & Angle Bisector Theorems — Easy Worksheet 1
Grade 10 · MathSheets Name: ____________________ Date: __________
Use the diagram and the given information to answer each question.
How to solve
If DE is parallel to BC, it divides the two sides proportionally: AD/DB = AE/EC. If AD bisects ∠A of △ABC, it divides BC in the ratio of the other two sides: BD/DC = AB/AC. Write the proportion, cross-multiply and solve.
Example
DE ∥ BC. Find x.
Answer: 2
✓ Correct!
Not quite. The answer is
💡 How to solve: Triangle Proportionality & Angle Bisector Theorems
If DE is parallel to BC, it divides the two sides proportionally: AD/DB = AE/EC. If AD bisects ∠A of △ABC, it divides BC in the ratio of the other two sides: BD/DC = AB/AC. Write the proportion, cross-multiply and solve.
Try a similar one
DE ∥ BC. Find x.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Triangle Proportionality & Angle Bisector Theorems
If DE is parallel to BC, it divides the two sides proportionally: AD/DB = AE/EC. If AD bisects ∠A of △ABC, it divides BC in the ratio of the other two sides: BD/DC = AB/AC. Write the proportion, cross-multiply and solve.
Try a similar one
DE ∥ BC. Find x.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Triangle Proportionality & Angle Bisector Theorems
If DE is parallel to BC, it divides the two sides proportionally: AD/DB = AE/EC. If AD bisects ∠A of △ABC, it divides BC in the ratio of the other two sides: BD/DC = AB/AC. Write the proportion, cross-multiply and solve.
Try a similar one
DE ∥ BC. Find x.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Triangle Proportionality & Angle Bisector Theorems
If DE is parallel to BC, it divides the two sides proportionally: AD/DB = AE/EC. If AD bisects ∠A of △ABC, it divides BC in the ratio of the other two sides: BD/DC = AB/AC. Write the proportion, cross-multiply and solve.
Try a similar one
DE ∥ BC. Find x.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Triangle Proportionality & Angle Bisector Theorems
If DE is parallel to BC, it divides the two sides proportionally: AD/DB = AE/EC. If AD bisects ∠A of △ABC, it divides BC in the ratio of the other two sides: BD/DC = AB/AC. Write the proportion, cross-multiply and solve.
Try a similar one
DE ∥ BC. Find x.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Triangle Proportionality & Angle Bisector Theorems
If DE is parallel to BC, it divides the two sides proportionally: AD/DB = AE/EC. If AD bisects ∠A of △ABC, it divides BC in the ratio of the other two sides: BD/DC = AB/AC. Write the proportion, cross-multiply and solve.
Try a similar one
DE ∥ BC. Find x.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Triangle Proportionality & Angle Bisector Theorems
If DE is parallel to BC, it divides the two sides proportionally: AD/DB = AE/EC. If AD bisects ∠A of △ABC, it divides BC in the ratio of the other two sides: BD/DC = AB/AC. Write the proportion, cross-multiply and solve.
Try a similar one
DE ∥ BC. Find x.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Triangle Proportionality & Angle Bisector Theorems
If DE is parallel to BC, it divides the two sides proportionally: AD/DB = AE/EC. If AD bisects ∠A of △ABC, it divides BC in the ratio of the other two sides: BD/DC = AB/AC. Write the proportion, cross-multiply and solve.
Try a similar one
DE ∥ BC. Find x.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Triangle Proportionality & Angle Bisector Theorems — Easy Worksheet 1
Use the diagram and the given information to answer each question.