Geomentry help | Similar Triangle Basics | Proving triangles are similar

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Two triangles are similar, if (i) their corresponding angles are equal and (ii) their corresponding sides are in the same ratio (or proportion).

Similarity postulates AA SAS SSS

AAA similarity criterion

If two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar.

SSS (Side–Side–Side) similarity criterion for two triangles

If in two triangles, sides of one triangle are proportional to (i.e., in the same ratio of ) the sides of the other triangle, then their corresponding angles are equal and hence the two triangles are similiar.

SAS (Side–Angle–Side) similarity criterion for two triangles

If one angle of a triangle is equal to one angle of the other triangle and the sides including these angles are proportional, then the two triangles are similar

00:03 CBSE class 10 maths NCERT Solutions chapter 6 Triangles Q1. State which pairs of triangles in Fig. 6.34 are similar. Write the similarity criterion used by you for answering the question and also write the pairs of similar triangles in the symbolic form :

00:47 Tests for Similar Triangles AA similarity criterion

01:18 (ii) | 02:58 (iii) | 03:59 (iv) | 04:56 (v) | 06:10 (vi) |

02:18 Solving similar triangles SSS (Side–Side–Side) similarity criterion

05:44 SAS (Side–Angle–Side) similarity criterion for two triangles

06:35 Angle sum prpperty of triangle.

07:23 Solving similar triangles AA similarity criterion

07:46 CBSE class 10 maths NCERT Solutions chapter 6 Triangles Q3. Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at the point O. Using a similarity criterion for two triangles, show that OA/OC = OB/OD.

08:15 constructions procedure to solve geometry problems

09:21 Vertically opposite angles are equal

09:34 Alrenate interior angles

10:17 AAA similarity criterion

11:04 CBSE class 10 maths NCERT Solutions chapter 6 Triangles Q4. In Fig. 6.36, QR/QS = QT/PR and angle 1 = angle 2. Show that triangle PQS ~ triangle TQR.

12:02 It tow angles are equal then their sides opposite to equal angles are equal.

13:54 SAS (Side–Angle–Side) similarity criterion for two triangles

14:13 CBSE class 10 maths NCERT Solutions chapter 6 Triangles Q5. S and T are points on sides PR and QR of triangle PQR such that angle P = angle RTS. Show that triangle RPQ ~ triangle RTS.

16:07 AAA similarity criterion

16:37 Q6. In Fig. 6.37, if triangle ABE ~ triangle ACD, show that triangle ADE ~ triangle ABC.

18:35 SAS (Side–Angle–Side) similarity criterion

19:32 Q7. In Fig. 6.38, altitudes AD and CE of triangle ABC intersect each other at the point P. Show that:

20:35 (i) triangle AEP ~ triangle CDP

21:14 Vertically opposite angles are equal

22:09 (ii) triangle ABD ~ triangle CBE

22:54 use AAA similarity criterion

23:39 (iii) triangle AEP ~ triangle ADB

25:05 AAA similarity criterion

25:36 (iv) triangle PDC ~ triangle BEC

26:19 AA similarity criterion

26:37 CBSE class 10 maths NCERT Solutions chapter 6 Triangles Q8. E is a point on the side AD produced of a parallelogram ABCD and BE intersects CD at F. Show that triangle ABE ~ triangle CFB.

28:51 Apply AA similarity criterion.

29:40 Q9. In Fig. 6.39, ABC and AMP are two right triangles, right angled at B and M respectively. Prove that:

30:07 (i) triangle ABC ~ triangle AMP 31:23 (ii) CA/PA = BC/MP.

Triangles class 10

Proving Triangles are Similar AA SAS SSS

Geometry Lesson | Triangles

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learncbse.in

CBSE solutions for class 10 maths Chapter 6 Triangles Exercise 6.3

CBSE class 10 maths NCERT Solutions chapter 6 Triangles Exercise 6.2 | SIMILAR TRIANGLES

NCERT solutions for CBSE class 10 maths Triangles

CBSE class 10 maths solutions Triangles

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