Which group contains triangles that are all similar? i'm thinkin its a. but i'm also thinkin it could be d.

Option B is correct as the triangles are similar.

Further Explanation:

The similar triangles are those in which all the corresponding angles are equal and the sides are proportional.

There are many similarity rules and are as follows.

1. Angle Angle (AA)

2. Side SideSide (SSS)

3. Side Angle Side (SAS)

Explanation:

In option (a)

The two angles of the first triangle are

The third angle can be obtained as follows,

The second triangle is equilateral. Therefore, all the angles are of

The two angles of the third triangle are

The third angle can be obtained as follows,

The triangles are not similar.

In option (b)

All the triangles in the figure are similar to each other as the one angle is of and the other angle is common.

Therefore, the triangles are similar to each other by AA Similarity Theorem.

In option (c)

The triangles are not similar to each other.

In option (d)

The triangles are not similar to each other.

Option B is correct as the triangles are similar.

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Triangle

Keywords: similar, two triangles, congruent, angles, triangle, ASA, angle side angle, congruent sides, acute angle, side, corresponding angles, congruent triangle, similarity theorem, SSS congruency theorem, SSS similarity theorem, AA similarity postulate, SAS congruency postulate.

step-by-step explanation:

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