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3 years ago

I’ll give 20 points.

Mathematics

2 answers:

Anarel [89]3 years ago

8 0

Answer:

Step-by-step explanation:

Sunny_sXe [5.5K]3 years ago

6 0

Answer:

m∠AYB = 85°

m∠C = 50°

Step-by-step explanation:

By is the angle bisector of ∠ABC,

Therefore, m∠1 = m∠2 = 30°

m∠3 = 35°

m∠AYB + m∠YAB + m∠ABY = 180°

m∠AYB = 180° - [(m∠1 + m∠2) + m∠3]

= 180° - [(30° + 30°) + 35°]

= 180° - 95°

= 85°

m∠A + m∠B + m∠C = 180°

2(30°) + 2(35)° + m∠C = 180°

60° + 70° + m∠C = 180°

m∠C = 180° - 130°

m∠C= 50°

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1- The corresponding sides of the triangles are congruent:
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2- The corresponding angles of the triangles are congruent:
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3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image

4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced

5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)

6- The rotation reduces the size of the triangle:
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