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Three Proportions Theorems

Three Proportions Theorems · If three or more parallel lines are intersected by two transversals, the parallel lines divide the trans- versals proportionally. ID Example 4: Find

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Page 1: Three Proportions Theorems · If three or more parallel lines are intersected by two transversals, the parallel lines divide the trans- versals proportionally. ID Example 4: Find

Three Proportions Theorems

Page 2: Three Proportions Theorems · If three or more parallel lines are intersected by two transversals, the parallel lines divide the trans- versals proportionally. ID Example 4: Find

SWBAT: Apply Three Theorems frequently used to establish proportionality

Page 3: Three Proportions Theorems · If three or more parallel lines are intersected by two transversals, the parallel lines divide the trans- versals proportionally. ID Example 4: Find

SWBAT: Apply Three Theorems frequently used to establish proportionality

Side Splitter Theorem

Conclusion: __________________

Page 4: Three Proportions Theorems · If three or more parallel lines are intersected by two transversals, the parallel lines divide the trans- versals proportionally. ID Example 4: Find

SWBAT: Apply Three Theorems frequently used to establish proportionality

Page 5: Three Proportions Theorems · If three or more parallel lines are intersected by two transversals, the parallel lines divide the trans- versals proportionally. ID Example 4: Find

SWBAT: Apply Three Theorems frequently used to establish proportionality

Page 6: Three Proportions Theorems · If three or more parallel lines are intersected by two transversals, the parallel lines divide the trans- versals proportionally. ID Example 4: Find

SWBAT: Apply Three Theorems frequently used to establish proportionality

Page 7: Three Proportions Theorems · If three or more parallel lines are intersected by two transversals, the parallel lines divide the trans- versals proportionally. ID Example 4: Find

SWBAT: Apply Three Theorems frequently used to establish proportionality Parallels Proportion Theorem

Given:

Conclusion: __________________

Page 8: Three Proportions Theorems · If three or more parallel lines are intersected by two transversals, the parallel lines divide the trans- versals proportionally. ID Example 4: Find

SWBAT: Apply Three Theorems frequently used to establish proportionality

Page 9: Three Proportions Theorems · If three or more parallel lines are intersected by two transversals, the parallel lines divide the trans- versals proportionally. ID Example 4: Find

SWBAT: Apply Three Theorems frequently used to establish proportionality Angle Bisector Proportionality Theorem

Conclusion: __________________

Page 10: Three Proportions Theorems · If three or more parallel lines are intersected by two transversals, the parallel lines divide the trans- versals proportionally. ID Example 4: Find

SWBAT: Apply Three Theorems frequently used to establish proportionality

Page 11: Three Proportions Theorems · If three or more parallel lines are intersected by two transversals, the parallel lines divide the trans- versals proportionally. ID Example 4: Find

SWBAT: Apply Three Theorems frequently used to establish proportionality

Page 12: Three Proportions Theorems · If three or more parallel lines are intersected by two transversals, the parallel lines divide the trans- versals proportionally. ID Example 4: Find

SWBAT: Apply Three Theorems frequently used to establish proportionality

Page 13: Three Proportions Theorems · If three or more parallel lines are intersected by two transversals, the parallel lines divide the trans- versals proportionally. ID Example 4: Find

SWBAT: Apply Three Theorems frequently used to establish proportionality

Page 14: Three Proportions Theorems · If three or more parallel lines are intersected by two transversals, the parallel lines divide the trans- versals proportionally. ID Example 4: Find

SWBAT: Apply Three Theorems frequently used to establish proportionality