2020-2021 T-Math-Geo-T1-CBT: Section 1 – No Calculator Section

Per new schools question and answer inquired students to mention what they believe is the main important challenge for a student to do to be able to accomplish success. Of the numerous replies, one that that stood out was practice. Successful people definitely not born successful; they become successful with hard work and persistence. This is how you can reach your goals. the following some question and answer examples that you can use to boost your knowledge and gain insight that will guide you to keep up your school studies.

Question:

2020-2021 T-Math-Geo-T1-CBT: Section 1 – No Calculator SectionQuestion: 1-4
Based on the graph below, which sequence of transformations is needed to carry ABCD onto its image A’BCD?
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8
A
D
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6
4
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A
10
10 -8 -6 -4
4
6
8
10
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4
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-101
A 180° clockwise rotation about the origin and then a reflection across the x-axis.
A reflection across the x-axis and then a translation by the rule (x, y) + (x-10, y + 9).
A translation by the rule (x,y) – (xy-9) and then a 180° clockwise rotation about the origin
A 90° clockwise rotation about the origin and then a reflection across the line y = x

Answer:

The correct option is c) A translation by the rule (x,y) – (x,y-9) and then a 180° clockwise rotation about the origin.

Step-by-step explanation:

The rules of rotation about the origin-

Under a clockwise rotation about the origin gives,

In the given image, point A(2,3) becomes A'(-2,6).

Since the coordinates changed not only switched you can figure out that this is not only rotation about the origin, but also a translation beforehand.

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Now, see the value of x remains the same but changes sign, now you just have to use the rule

Hence,

Therefore the correct option is c) A translation by the rule (x,y) – (x,y-9) and then a 180° clockwise rotation about the origin.

For more information, refer the link given below

They could certainly hopefully help the student resolve the question by applying the questions and answer examples. You would probably then have a discussion with your classmate and continue the school learning by studying the problem jointly.

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