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Kim performed a transformation on rectangle ABCD to create r

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jonathan williams

on 12 July 2014

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Transcript of Kim performed a transformation on rectangle ABCD to create r

Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below:
uestion 1 (Worth 5 points)

(02.05 MC)

Which one of these transformations would produce an image that is not congruent to its pre-image?

A translation followed by a reflection

A rotation of 90 degrees about the origin

A dilation followed by a rotation
This is a correct answer

A translation of (x+3, y+4)

Points earned on this question: 5

Question 2 (Worth 5 points)

(02.05 LC)

If triangle ABC is congruent to triangle XYZ, then which statement is true?

∠A ≅ ∠X
This is a correct answer

segment CA ≅ segment XY

∠B ≅ ∠Z

segment AB ≅ segment YZ

Points earned on this question: 5

Question 3 (Worth 5 points)

(02.01 MC)

The coordinate grid below shows triangle ABC and its image after translation, triangle A'B'C':

Triangles ABC and A prime, B prime, C prime are shown. A is located at negative 6, 2. B is located at negative 5, 5. C is located at negative 1, 3. A prime is located at 0, negative 6. B prime is located at 1 negative 3. C prime is located at 5, negative 5.

Which rule represents the translation seen?

(x, y) → (x−6, y+8)

(x, y) → (x+8, y−6)

(x, y) → (x+6, y−8)
This is a correct answer

(x, y) → (x−8, y+6)

Points earned on this question: 5

Question 4 (Worth 5 points)

(02.03 MC)

Kim performed a transformation on triangle ABC to create triangle A'B'C', as shown in the figure below:

Triangles ABC and A prime B prime C prime are shown. A is at 5, 4. B is at 6, 9. C is at 2, 8. A prime is at 5, negative 4. B prime is at 6, negative 9. C prime is at 2, negative 8.

What transformation did Kim perform to create triangle A'B'C'?

Reflection across the x-axis
This is a correct answer

Rotation of 270 degrees counterclockwise about the origin

Reflection across the y-axis

Rotation of 90 degrees counterclockwise about the origin

Points earned on this question: 0

Question 5 (Worth 5 points)

(02.03 MC)

Triangle ABC is shown. A is at negative 2, 1. B is at negative 1, 4. C is at negative 4, 5.

If triangle ABC is reflected over the x-axis, reflected over the y-axis, and rotated 180 degrees, where will point B' lie?

(−1, 4)
This is a correct answer

(1, -4)

(4, −1)

(−4, 1)

Points earned on this question: 0

Question 6 (Worth 5 points)

(01.02 MC)

Some steps to construct an angle MNT congruent to angle PQR are listed below. Step 3 is not listed:

Step 1: Draw a segment NT.
Step 2: Use a compass to draw an arc from point Q which intersects the side PQ of angle PQR at point A and the side QR at point B.
Step 3:
Step 4: Adjust the width of the compass to AB and draw an arc from point X such that it intersects the arc drawn from N in a point Y.
Step 5: Join points N and Y using a straightedge.

Which statement describes step 3 correctly?

Without changing the compass width, draw an arc from point A which intersects the segment NT at a point X.

Without changing the compass width, draw an arc from point N which intersects the segment NT at a point X.
This is a correct answer

Without changing the compass width, draw an arc from point B which intersects the segment NT at a point X.

Without changing the compass width, draw an arc from point T which intersects the segment NT at a point X.

Points earned on this question: 5

Question 7 (Worth 5 points)

(01.06 MC)

Read the proposition and the implication shown below:

"If the medicine cures cough, it is red."

Which statement is a contrapositive to the proposition and logically equivalent to it?

If the medicine does not cure cough, it is not red.

If the medicine is not red, it does not cure cough.
This is a correct answer

If the medicine does not cure cough, it is red.

If the medicine is red, it cures cough.

Points earned on this question: 5

Question 8 (Worth 5 points)

(01.05 MC)

Which one of these is not a step used when constructing an inscribed square using technology?

Create a circle using the center with given point tool.

Connect the point with a line through the center of the circle.

Mark the points of intersection between the three circles.
This is a correct answer

Create another circle with the same radius as the original.

Points earned on this question: 0

Question 9 (Worth 5 points)

(01.03 MC)

The steps below describe the construction of a line AG which is parallel to segment PQ and passes through a point A outside of PQ:

Step 1 shows a segment PQ with an external point A . A line drawn from A intersects PQ at a point B. Step 2 shows an arc drawn from B that intersects BQ in D and BA in E. Step 3 shows an arc drawn from Point A that intersects the segment BA extended in a point F

Which statement describes the next step?

Adjust the width of the compass equal to BE, and draw an arc from point F which intersects the arc drawn from point A in point G.

Adjust the width of the compass equal to DE, and draw an arc from point F which intersects the arc drawn from point A in point G.
This is a correct answer

Adjust the width of the compass equal to AE, and draw an arc from point F which intersects the arc drawn from point A in point G.

Adjust the width of the compass equal to AF, and draw an arc from point F which intersects the arc drawn from point A in point G.

Points earned on this question: 0

Question 10 (Worth 5 points)

(02.05 LC)

If quadrilateral ABCD is congruent to quadrilateral EFGH, then what corresponding side is congruent to side FG?

Side AB

Side BC
This is a correct answer

Side CD

Side DA

Points earned on this question: 5

Question 11 (Worth 5 points)

(02.02 MC)

Triangle ABC is reflected over the x-axis:

Triangle ABC is shown. A is at 2, 1. B is at negative 1, 4. C is at 3, 7.

What is the coordinate for B'?

(1, 4)

(−1, −4)
This is a correct answer

(1, −4)

(−1, 4)

Points earned on this question: 5

Question 12 (Worth 5 points)

(02.02 MC)

Rectangle EFGH is graphed in quadrant I of a coordinate grid. What series of reflections would map the rectangle onto itself?

y-axis, x-axis, y-axis

x-axis, y-axis, x-axis, y-axis
This is a correct answer

y = x, x-axis, y = x, x-axis

x-axis, y = x, x-axis, y = x

Points earned on this question: 5

Question 13 (Worth 5 points)

(02.03 MC)

Figure ABCD is a parallelogram with point C (−4, 1). What rule would rotate the figure 90 degrees counterclockwise, and what coordinate would be the output for point C'?

(x, y) → (y, −x); C' (1, 4)

(x, y) → (y, x); C' (1, −4)

(x, y) → ( −y, x); C' (−1, −4)
This is a correct answer

(x, y) → ( −y, −x); C' (−1,4)

Points earned on this question: 0

Question 14 (Worth 5 points)

(01.01 HC)

Look at the planes ABCD and EFGH shown below:

Two planes ABCD and EFGH are shown. They intersect in the middle. M is the midpoint of side EF and N is the midpoint of side DC.

Which statement is true about the two planes?

There are more than two segments along which the planes intersect.

They intersect at exactly one segment called MN.
This is a correct answer

There are two segments along which the planes intersect.

They intersect at a single point.

Points earned on this question: 5

Question 15 (Worth 5 points)

(02.03 MC)

Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below:

Rectangles ABCD and A prime B prime C prime and D prime are shown. A is at negative 1, 2. B is at negative 1, 5. C is at negative 3, 5. D is at negative 3, 2. A prime is at negative 2, negative 1. B prime is at negative 5, negative 1. C prime is at negative 5, negative 3. D prime is at negative 2, negative 3.

What transformation did Kim perform to create rectangle A'B'C'D'?

Rotation of 270 degrees counterclockwise about the origin

Reflection across the line of symmetry of the figure

Reflection across the y-axis

Rotation of 90 degrees counterclockwise about the origin
This is a correct answer

Points earned on this question: 5

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