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3 years ago

Which types of dilation are the given scale factors?

Mathematics

2 answers:

Neporo4naja [7]3 years ago

7 0

Answer:

−4 is an expansion; 2.5 is an expansion; 2/3 is a contraction; and −3/4 is a contraction.

Step-by-step explanation:

In a dilation, a scale factor greater than 1 or less than -1 is an expansion. It will make the figure larger. This means that -4 is an expansion, since it is less than -1, and 2.5 is an expansion, since it is greater than 1.

A scale factor that is greater than -1 but less than 1 will be a contraction. It will make the figure smaller. This means that 2/3 is an expansion, since it is less than 1, and -3/4 is a contraction, since it is greater than -1.

VLD [36.1K]3 years ago

4 0

Expansion (-4) , Expasnsion ( 2.5 ) , Contraction ( 2/3) , and contraction ( -3/4)

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Answer

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Find the orthocenter of the triangle with the given vertices: L(2, 2), M(-4, 2), N(-2, 6) a (-2, 4) b (3, -5) c (2, -4) d (-3, 5

Norma-Jean [14]

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Answer:

(a) (-2, 4)

Step-by-step explanation:

The orthocenter is the point of concurrence of the altitudes of the triangle.

A plot of the triangle vertices shows the triangle to be acute. That means the orthocenter is inside. This eliminates choices B, C, D, which are all points outside the triangle.

Conveniently, side LM is horizontal. This means the orthocenter will have the x-coordinate of the vertical line through N, which is -2. Only one answer choice has an x-coordinate of -2:

a (-2, 4)

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