Question

1.
What are the similar triangles?
2. Write two properties of similar traigles.​

Answer 1

Two triangles are said similar if their corresponding angles are congruent and corresponding sides are in proportion..

Properties--

1) corresponding sides are in proportion

2)corresponding angles are in same ratio

Answer 2

Answer:

Two triangles have equal angles and equal corresponding  side length ratio are similar triangles.

Step-by-step explanation:

1.

We know that ,

Similar triangles are the triangles have the same shape but they may have different size. Also similar triangles have same corresponding angle measures. The sides of the similar triangles are proportional side lengths.

2.

Properties of similar triangles are,

Property 1:

The corresponding angles of two triangles are equal then it can be consider as similar triangles.

For example,

Take two triangles. First one is Δ ABC and second triangle is Δ PQR.

Sides of Δ ABC are, AB, BC and CD.

Sides of Δ PQR are, PQ, QR and RP.

Angles of Δ ABC are, ∠A°, ∠B° and ∠C°.

Angles of  Δ PQR are, ∠P°, ∠Q° and ∠R°.

If triangle ABC is equal to triangle PQR then,

Δ ABC = Δ PQR

There angles are equal.

⇒ ∠A° = ∠P°,  

∠B° = ∠Q° and

∠C° = ∠R°.

Property 2:

The corresponding sides of two triangles have equal ratio along with corresponding equal angles then it can be considered as similar triangles.

For Δ ABC and Δ PQR.

If their sides lengths are proportional,

$\frac{AB}{PQ} =\frac{BC}{QR} =\frac{CA}{RP}$

Hence,

Two triangles have equal angles and equal corresponding  side length ratio are similar triangles.

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