Podcast
Questions and Answers
In triangle ABC, if $DE$ is parallel to $BC$, which statement is true?
In triangle ABC, if $DE$ is parallel to $BC$, which statement is true?
What can be concluded if $\frac{AD}{DB} = \frac{AE}{EC}$ in triangle $ABC$?
What can be concluded if $\frac{AD}{DB} = \frac{AE}{EC}$ in triangle $ABC$?
In triangle $ABC$, $AD$ is the bisector of $\angle BAC$. Which of the following is true?
In triangle $ABC$, $AD$ is the bisector of $\angle BAC$. Which of the following is true?
If $AB$, $CD$, and $EF$ are three parallel lines and $l$ and $m$ are two transversals that intersect these lines, which of the following is true?
If $AB$, $CD$, and $EF$ are three parallel lines and $l$ and $m$ are two transversals that intersect these lines, which of the following is true?
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Which statement is the converse of the basic proportionality theorem?
Which statement is the converse of the basic proportionality theorem?
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Study Notes
Proportionality Theorems
- If DE is parallel to BC, then the ratio of AD to DB is equal to the ratio of AE to EC.
- Conversely, if the ratio of AD to DB is equal to the ratio of AE to EC, then DE is parallel to BC.
Angle Bisector Theorem
- If AD is the bisector of angle BAC, then the ratio of BD to DC is equal to the ratio of AB to AC.
Three Parallel Lines and Transversals
- If three lines AB, CD, and EF are parallel, and two transversals l and m intersect them, then the ratio of AB to CD is equal to the ratio of BC to EF.
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Description
Test your understanding of fundamental geometry theorems and properties, including the Basic Proportionality Theorem, Converse of Basic Proportionality Theorem, and more.
