What is the Triangle Proportionality Theorem?
Similarity Review

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•
Mathematics
•
9th - 10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
Back
The Triangle Proportionality Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.
2.
FLASHCARD QUESTION
Front
If QR is a midsegment of triangle FGH, what is the relationship between QR and the sides of triangle FGH?
Back
The midsegment QR is parallel to the third side FG and its length is half the length of FG.
3.
FLASHCARD QUESTION
Front
How do you find the length of a segment using proportions?
Back
To find the length of a segment using proportions, set up a proportion based on the corresponding sides of similar triangles and solve for the unknown length.
4.
FLASHCARD QUESTION
Front
What is the formula for finding the length of a midsegment in a triangle?
Back
The length of a midsegment is equal to half the length of the third side of the triangle.
5.
FLASHCARD QUESTION
Front
If two triangles are similar, what can be said about their corresponding sides?
Back
The corresponding sides of similar triangles are in proportion.
6.
FLASHCARD QUESTION
Front
What is the definition of similar triangles?
Back
Similar triangles are triangles that have the same shape but may differ in size; their corresponding angles are equal and their corresponding sides are proportional.
7.
FLASHCARD QUESTION
Front
How do you determine if two triangles are similar using angle-angle (AA) similarity?
Back
If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.
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