Understanding Side-Angle-Side Similarity
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Beginner
Start here! Easy to understand
Beginner Explanation
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Practice Problems
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1
Quick Quiz
Single Choice Quiz
Beginner
If $\angle A \cong \angle D$ and $\frac{AB}{DE} = \frac{AC}{DF}$, what can be concluded about $\triangle ABC$ and $\triangle DEF$?
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2
Real-World Problem
Question Exercise
Intermediate
Teenager Scenario
You want to create a scale model of a triangular garden. The original garden has an angle of $\angle ABC = 60^\circ$ and sides $AB = 10$ meters and $BC = 8$ meters. Your model will have $\angle DEF = 60^\circ$ and sides $DE = 5$ meters. What should the length of $EF$ be so that $\triangle ABC \sim \triangle DEF$?
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3
Thinking Challenge
Thinking Exercise
Intermediate
Think About This
A challenging problem involving $\triangle ABC$ and $\triangle PQR$ where $\angle A \cong \angle P$ and the sides including these angles are proportional (i.e., $\frac{AB}{PQ} = \frac{AC}{PR}$). Prove the similarity.
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4
Challenge Quiz
Single Choice Quiz
Advanced
Given $\triangle XYZ$ and $\triangle LMN$, if $\angle X \cong \angle L$, $XY = 3$, $XZ = 4.5$, $LM = 4$, and $LN = 6$. Are the triangles similar?
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Recap
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