AA Similarity
If two triangles have two corresponding angles that are equal, the triangles are similar.
Adjust sliders to match
Left Angle (Target: {{ s1_targetA }}°)
{{ s1_userA }}°
Right Angle (Target: {{ s1_targetB }}°)
{{ s1_userB }}°
Perfect Match! The triangles are similar.
SSS Similarity
If all three corresponding sides of two triangles are proportional, they are similar.
Scale to match base
Scale the right triangle until its base is 12.
Scale Factor (k)
×{{ s2_scale.toFixed(1) }}
Left:
{{ (5 * s2_scale).toFixed(1) }}
{{ (5 * s2_scale).toFixed(1) }}
Right:
{{ (4 * s2_scale).toFixed(1) }}
{{ (4 * s2_scale).toFixed(1) }}
Base:
{{ (6 * s2_scale).toFixed(1) }}
{{ (6 * s2_scale).toFixed(1) }}
SSS Proportion Met! (x2 Scale)
Identify the Theorem
Which theorem proves these pairs are similar?
Drag labels to zones
Drop here
{{ zone.matchedItem.label }}
{{ item.label }}
All theorems identified!
Indirect Measurement
The sun's rays create similar triangles. Use proportions to find the tree's height.
Adjust height to align rays
Perfect Alignment!
Person
=
Tree
{{ s4_treeHeight }}
20
Tree Height (h)
{{ s4_treeHeight }} ft
Target ratio: 1.5 | Current: {{ (s4_treeHeight/20).toFixed(2) }}
🏆
Master of Similarity!
You've successfully proven triangles are similar using AA, SSS, SAS, and used them to measure the world!