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4 years ago

Which sequence of transformations creates a similar but not congruent triangle

Mathematics

2 answers:

geniusboy [140]4 years ago

7 0

The correct answer is:

dilation and rotation.

Explanation:

Rotations, reflections and translations are known as rigid transformations; this means they do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.

Dilation, however, are not rigid transformations, since they change the size of a shape. Dilation would not change the shape, just the size; the angle measures would be the same, and the ratio of corresponding sides would be equal to the scale factor used in the dilation. This would give us a similar, but not congruent, figure.

hope this helped :3

Gwar [14]4 years ago

5 0

A a dilation and reflection

dilation will make bigger or smaller therefore it cannot be congruent

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3 years ago

A cognitive psychologist would like to evaluate the claim that the omega-3 fatty acids can help improve memory in normal adult h

bogdanovich [222]

Answer:

(a)

Independent Variable- Dosage of Omega-3 Fatty Acids

Dependent Variable - Number of news item remembered

(b)Discrete

(c)Ratio Scale and Discrete Variable

(d) Experimental Method

Step-by-step explanation:

The psychologist wants to evaluate the claim that omega-3 fatty acids can help improve memory in normal adult humans.

(a)In the study, the participants in the two groups were given fish extracts containing Omega-3 (500 mg) and no Omega-3 (0 mg).

The memory test involves measuring the number of items each participant remembers from the past three weeks of news.

Therefore:

Independent Variable- Dosage of Omega-3

Dependent Variable - Number of news item remembered

(b) The dependent variable is discrete since the number of news items remembered can only be whole numbers.

(c)The independent variable is in milligrams of Omega-3 where the placebo is 0 mg. This is a ratio scale since it has an absolute zero.

Since the dosage is given in multiples of 50mg, it is a discrete variable.

(d)Since the psychologist seeks to manipulate the conditions of the study by introducing Omega-3 to some of the participants and placebo to other participants, it is an experimental distribution.

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3 years ago

In triangle ABC and triangle XYZ , if angle A and angle B are acute angles such that cos A = cos X then show that angle A = angl

just olya [345]

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3 years ago

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Illusion [34]

Angle-angle-side congruence

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3 years ago

The solution set, all real numbers greater than or equal to one, proves which of the following inequality statements to be true?

Juliette [100K]

Answer:

-5x ≤ 6x - 11

Step-by-step explanation:

Solving inequalities involves the same steps as equations with the exception that when multiplying or dividing by a negative coefficient of the variable, the inequality sign will flip. The solution to one of the inequalities given must be x ≥ 1. Given this answer, you can solve each to find the matching inequality:

-5x ≥ 6x - 11 or -11x ≥ -11 or x ≤ 1 (flip the sign due to negative coefficient)

-5x ≤ 6x - 11 or -11x ≤ -11 or x ≥ 1 (flip the sign)

5x ≤ 6x + 11 or -x ≤ 11 or x ≥ -1

-5x ≤ 6x + 11 or -11x ≤ 11 or x ≥ -1

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3 years ago