Track quiz
Nine questions, one idea each. Keep the table beside you.
| Move | How it goes |
|---|---|
| Similar | Equal angles and sides in one ratio. |
| AA | Two matching angles. The third is forced. |
| SSS | Sort the sides. All three ratios match. |
| SAS | Two side ratios and the angle between them. |
| Shadows | On flat ground, height ÷ shadow is the same at one moment. |
| Parallel line | It splits two sides in one ratio. |
| Converse | Equal splits from the same corner mean parallel. |
| Corner triangle | AD ÷ AB = AE ÷ AC = DE ÷ BC. |
| Which test | Match the corners, then pick the test. |
A triangle has sides 5, 12, 13. Which triangle is a similar copy?
Two angles of one triangle are 65° and 45°. Two angles of another are 65° and 70°. Are they similar?
One triangle has sides 12, 5, 13. Another has sides 26, 10, 24. Are they similar?
Sides 3 and 5 have 40° between them. Sides 9 and 15 also have 40° between them. What follows?
A pole 2.4 m tall casts a 3 m shadow. A flagpole casts a 25 m shadow at the same time. How tall is the flagpole?
DE is parallel to BC. AD = 3, DB = 5 and AE = 6. What is EC?
A line cuts AB at D, with AD = 3 and DB = 5. It cuts AC at E, with AE = 4 and EC = 7. Is it parallel to BC?
DE is parallel to BC. AD = 2, DB = 3 and AE = 4. Find AC.
Two side ratios of two triangles are both 2/3. No angle is given. What is the verdict?
This is Chapter 6, Triangles, in your Class 10 book. Try its exercises next.
Next: Coordinate Geometry. It puts the same triangles on a grid.