Practice Similarity Of Triangles (6.3) - Triangles

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6 sample questions

Question 1.
What does it mean for two triangles to be similar?
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Think about shape and size.
Question 2.
State the Basic Proportionality Theorem.
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Think about parallel lines in triangles.
3Question 3.
What is the condition for triangle similarity based on angles?
- All angles must be equal
- At least one angle must be equal
- No conditions are necessary
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Think about triangle properties.
4Question 4.
If triangle ABC is similar to triangle DEF, which of the following is true?
- True
- False
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Recall the properties of similar triangles.
Question 5.
In triangle ABC, if angle A = 30° and angle B = 60°, find angle C. Now consider triangle DEF which has angles D and E equal to angles A and B, respectively. Confirm these triangles are similar and justify your answer.
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Use the angle sum property first then apply AA.
Question 6.
An 80 cm tall tree casts a shadow of 2 m. If a person of height 1.6 m stands next to it, how long will their shadow be?
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Ensure the units of measure align while calculating.

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