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Mathematics, 15.10.2020 23:01 xojade

PLEASE! I WILL GIVE BRAINLIEST THANK YOU, AND GOD BLESS YOU! ( THERE ARE 5 QUESTIONS IN TOTAL!)

1. Read the following statement: Line segment AB is congruent to line segment QR.

Which of the following is an equivalent statement?

1) AB overbar is similar to QR overbar.

2) AB overbar equals QR overbar.

3) AB overbar is an element of QR overbar.

4) AB overbar is congruent to QR overbar.

2. The figure shows two triangles on a coordinate grid:

A coordinate plane is shown with two triangles drawn. Triangle ABC has vertices A at negative 3 comma 4, B at negative 3 comma 1, and C at negative 2 comma 1. Triangle A prime B prime C prime has vertices A prime at 3 comma 1, B prime at 3 comma 4, and C prime at 2 comma

What set of transformations is performed on triangle ABC to form triangle A′B′C′?

1) A 180-degree counterclockwise rotation about the origin followed by a translation 5 units down.

2) A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin.

3) A 270-degree counterclockwise rotation about the origin followed by a translation 5 units to the right.

4) A translation 5 units to the right followed by a 270-degree counterclockwise rotation about the origin.

3. Which statement is true about the result of a rigid transformation?

1) The image will be larger than the pre-image.

2) The pre-image will be larger than the image.

3) Each one is unique; no general statement can be made about size.

4) The pre-image will be congruent to the image.

Figure ABCD is transformed to A′B′C′D′, as shown:

A coordinate plane is shown. Figure ABCD has vertices A at 3 comma 1, B at 3 comma 4, C at 5 comma 5 and D at 5 comma 3. Figure A prime B prime C prime D prime has vertices A prime at negative 5 comma 1, B prime at negative 5 comma 4, C prime at negative 7 comma 5 and D prime at negative 7 comma 3.

4. Which of the following sequences of transformations is used to obtain figure A′B′C′D′ from ABCD?

1) Reflection about the x-axis followed by a translation right by 2 units.

2) Reflection about the y-axis followed by a translation left by 2 units.

3) Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units.

4) Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units.

5. Figure STOP is reflected about the y-axis to obtain figure STO′P:
A coordinate plane with two quadrilaterals is shown. Figure STOP has vertices S at negative 2 comma negative 1, T at negative 1 comma negative 4, O at negative 4 comma negative 5, and P at negative 5 comma negative 4. Figure S prime T prime O prime P prime has vertices S prime at 2 comma negative 1, T prime at 1 comma negative 4, P prime at 5 comma negative 4, and O prime at 4 comma negative 5.

Which statement best describes the relationship between the two figures?

1) The measure of angle S is equal to the measure of angle P′.

2) The measure of angle P is equal to the measure of angle T′.

3) Figure STOP is congruent to figure S′T′O′P′.

4) Figure STOP is bigger than figure S′T′O′P′.

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