Chloe drew a triangle with side lengths of 30 centimeters, 24 centimeters, and 18 centimeters. Juan drew a triangle with side lengths 20 centimeters, 16 centimeters, and 12 centimeters. Which statement is true about their triangles. Select all that apply.

A. The two triangles have the same shape
B. The two triangles have angle measures that are the same.
C. The measures of the angles in each triangle have a sum of 100 °
D. The two triangles have different shapes and sizes .

HELP FAST SOON ASAP!!!!!!!!!!!

Question

02-03-2021
Mathematics

Answered

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Chloe drew a triangle with side lengths of 30 centimeters, 24 centimeters, and 18 centimeters. Juan drew a triangle with side lengths 20 centimeters, 16 centimeters, and 12 centimeters. Which statement is true about their triangles. Select all that apply.

A. The two triangles have the same shape
B. The two triangles have angle measures that are the same.
C. The measures of the angles in each triangle have a sum of 100 °
D. The two triangles have different shapes and sizes .

HELP FAST SOON ASAP!!!!!!!!!!!

Sagot :

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Manhartbillyidn Manhartbillyidn · Answer 1 · 2021-03-02T23:36:20-05:00

Answer:

A and B

Step-by-step explanation:

Each side in Chloe's triangle is 1.5 times the length of each side in Juan's triangle. Thus, they are 'similar' by the math definition of that word, by the SSS Rule for Similar Triangles.

That means they are different only in size. So, their angle measures are the same and they are the same shape.

A and B are true.

C is never true, because the sum of all 3 angles in a triangle is always 180°.

D is not true, because they are similar.

Sagot :

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