Practice Criteria For Similarity Of Triangles (6.4) - 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 their angles and sides.
Question 2.
If triangle ABC has angles 30°, 60°, and 90°, what can you say about triangle DEF which has the same angles?
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Recall that equal angles imply similarity.
3Question 3.
If two angles of one triangle are equal to two angles of another triangle, what can be inferred?
- True
- False
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Think about angle sum properties.
4Question 4.
What does the SSS criterion state?
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Think proportional relationships.
Question 5.
Triangle ABC and Triangle DEF have sides AB = 6cm, AC = 9cm, and BC = 7cm while sides DE = 3cm, EF = 4.5cm, and DF = x. Determine the length of DF such that the triangles are similar.
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Count the ratio of the other sides!
Question 6.
In triangle RST, if ≤R = 30°, ∠T = 60°, and side RS = 8cm. Find the length of side ST in triangle UVW, which is similar to triangle RST if U and V are introduced where UV = 4cm.
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Examine the relationships closely.

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