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amm1812
3 years ago
11

identify the image of triangle XYZ for a composition of 50 degrees rotation and a 40 degrees rotation, both about point y

Mathematics
2 answers:
algol [13]3 years ago
7 0

Answer:

The correct option is A.

Step-by-step explanation:

If the direct of rotation is not mentioned, then it is consider as counterclockwise rotation.

It is given that triangle XYZ rotated 50 degrees and a 40 degrees, both about point Y.

It means the figure triangle XYZ rotated 90 degrees counterclockwise  about the point Y.

In option A, triangle XYZ rotated 90 degrees counterclockwise  about the point Y.

In option B, triangle XYZ rotated 180 degrees counterclockwise about the point Y.

In option C, triangle XYZ rotated 270 degrees counterclockwise  about the point Y.

In option D, triangle XYZ rotated 360 degrees counterclockwise  about the point Y.

Therefore the correct option is A.

Rudik [331]3 years ago
3 0

Answer:

a

Step-by-step explanation:

Given:

triangle XYZ  is rotated by a composition of 50°+40°=90° both about point y

Now when a geometrical figure is rotated by any degree then its shape or size does not change and remain same.

As the triangle is rotated clockwise by 90  degrees about point y then diagram attached is formed .

option a is correct.

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Option (2).

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This question is incomplete; here is the complete question and find the figure attached.

In the diagram of a circle O, what is the measure of ∠ABC?

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108°

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m(minor arc \widehat {AC}) = 126°

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By the intersecting tangents theorem,

If the two tangents of a circle intersect each other outside the circle, measure of angle formed between them is half the difference of the measures of the intercepted arcs.

m∠ABC = \frac{1}{2}[m(\text {major arc{AC})}-m(\text{minor arc} {AC})]

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