6.4 - Criteria for Similarity of Triangles
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What does it mean for two triangles to be similar?
💡 Hint: Think about their angles and sides.
If triangle ABC has angles 30°, 60°, and 90°, what can you say about triangle DEF which has the same angles?
💡 Hint: Recall that equal angles imply similarity.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
If two angles of one triangle are equal to two angles of another triangle, what can be inferred?
💡 Hint: Think about angle sum properties.
What does the SSS criterion state?
💡 Hint: Think proportional relationships.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
💡 Hint: Count the ratio of the other sides!
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.
💡 Hint: Examine the relationships closely.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.