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Grade 8 Mathematics EOG (GSE) Quiz Answer KeyGeometry - (MGSE8.G.2 ) Congruent Figures

Student Name: _______________________ Date: _________Teacher Name: THUYNGA DAO Score: _________

1)

The resulting ΔR'S'T' is an example of what kind of transformation?

A) rotation

B) translation

C) reflecting across y-axis

D) reflecting across x-axis

Explanation:If the image is just not moved a certain distance from the original, then it is not a translation. If the image is a mirror image of theoriginal then it is a reflection, just determine which axis it crossed. In this case it is reflection across the y-axis.

2)

Which best describes the transformation that occurs in the graph?

A) Dilation

B) Reflection

C) Rotation

D) Translation



Explanation:The object is a mirror image and not just movement of points; so the only possible answer is reflection.

3)

Which type of transformation is shown here?

A) dilation

B) reflection

C) rotation

D) translation

Explanation:The solution is rotation. It appears that the figure has been rotated around the point by approximately 120°.

4)

Which transformation is shown here?

A) dilation

B) reflection

C) rotation

D) translation

Explanation:The letter has been reflected across the line. This is a reflection.



5)

The triangle is transformed as shown in the diagram. Describe the transformation.

A) dilation, then reflection

B) rotation, then reflection

C) reflection, then rotation

D) translation, then reflection

Explanation:The solution is reflection, then rotation. The triangle has been reflected across the y-axis and then rotated.

6)

Which shows the original arrow rotated 90° clockwise?

A)

B)

C)

D)

Explanation:Arrow B has been rotated 90° clockwise. This is the same as the number of degress in a quarter circle.

7)




A) dilation

B) reflection

C) refraction

D) rotation

Explanation:The solution is reflection. If you fold along the dotted line the two figures match exactly. This is a reflection.

8)

The figure is transformed as shown in the diagram. Describe the transformation.

A) rotation, then translation

B) translation, then dilation

C) dilation, then translation


Explanation:The figure has been transformed as a result of a translation, then reflection. It has been translated 6 units to the right and thenreflected across the x-axis.

9)



Which transformation shows a reflection across the y-axis?

A)

B)

C)

D)

Explanation:IMAGES NEED TO SEPARATED - The solution is A. The "P" in choice A has been reflected across the y-axis.



10)


A) dilation

B) reflection

C) rotation

D) translation

Explanation:The solution is translation. It appears that the figure has been translated to the right. This is also called a slide.

11) Which choice shows a translation?

A)

B)

C)

D)

Explanation:The solution is B. In diagram B the yellow triangle has been translated to the right. This is sometimes called a "slide".

12)

Which of the statements about the diagram is INCORRECT?

A) ∠ 1 ≅ ∠2

B) BE ≅ ED



C) BE ≅ CE

D) CE ≅ EA

Explanation:The incorrect statement about the above graph is BE ≅ CE. The slash marks on the segments represent congruency and angles 1 and

2 are vertical angles so they are also congruent.

13)



B) reflection, then rotation

C) rotation, then translation


Explanation:The solution is rotation, then translation. The figure has been rotated about the origin by 90° and then translated 6 units to theright.

14)


A) dilation

B) reflection

C) rotation

D) translation

Explanation:The solution is rotation. The parallelogram has been rotated 90°.



15)


A) reflection, then rotation

B) translation, then dilation

C) translation, then reflection

D) reflection, then translation

Explanation:The figure has been transformed as a result of a reflection, then rotation. It has been reflected across the y-axis and rotatedclockwise about the origin.

16)


A) reflection, then rotation

B) rotation, then reflection

C) reflection, then dilation

D) translation, then dilation

Explanation:The figure has been transformed as a result of a rotation, then reflection. It has been rotated counterclockwise about the origin andthen reflected across the y-axis.

17) Which transformation can create figures that are similar, but NOT congruent?

A) dilation

B) reflection

C) rotation

D) translation

Explanation:A dilation can change the size of a figure making two similar figures. The other three transformations will change the location of thefigure in the coordinate plane so the shapes will still be congruent.



18)

Triangle ABC is reflected across the x-axis, and then across the y-axis. Which rotation is equivalent to this composition oftransformations?

A) 45 degree rotation

B) 90 degree rotation

C) 180 degree rotation

D) 360 degree rotation

Explanation:An 180 degree rotation is equivalent to the two reflections described. If you rotate each vertex by 180 degrees, the vertices end upat A', B', and C'.

19)

These two triangles can be shown to be congruent using which transformation?

A) reflection over the x-axis

B) reflection over the y-axis

C) translation right 4 units

D) rotation of 180°

Explanation:reflection over the y-axis is correct. Since the orientation of the triangle changed it can not be a translation.



20)

Which triangle would be congruent to the original using a reflection over the x-axis?

A)

B)

C)

D)

Explanation:C is correct. Look at particular points. A reflection over the x-axis, the sign of the y-coordinate will change. The point (-1, 1) became(-1, -1)

21)


A) dilation

B) reflection

C) refraction

D) translation

Explanation:The rectangle has been slid down and to the right. The transformation is a translation.

22)





B) reflection, then rotation

C) rotation, then reflection

D) rotation, then translation

Explanation:The solution is rotation, then reflection. The figure has been rotated clockwise about the origin and then reflected across the x-axis.

23)

The transformation of triangle ABC is an example of what?

A) A dilation of 2.

B) Translation of (0, 8)

C) Translation of (0, -8)

D) A reflection across the y-axis

Explanation:A mirror image would have flipped the drawing so it is not a reflection, so it must be a translation. The only movement was on the y-values, they dropped or decreased by 8, so the translation is (0, -8).



24)

IMAGES NEED TO BE SEPARATED - Which transformation is the result of reflecting the original figure across the y-axis and thenacross the x-axis?

A)

B)

C)

D)

Explanation:Solution: D. The triangle in choice D was first reflected across the y-axis, and then across the x-axis.



25)

Which composition of transformations can be used to show that figure 1 is congruent to figure 3?

A) rotation, then translation

B) rotation about (0, 0), then reflection

C) reflection, then rotation about (0, 0)

D) translation, then rotation about (0, 0)

Explanation:Use reflection, then rotation about (0, 0) to do it. Reflect over the y-axis, then rotate clockwise.

26)

Which image is the dilation of the rectangle with the center of the dilation at the origin and a scale factor of 1

2?

A)



B)

C)

D)

Explanation:The correct image is image C. This is the only one where every coordinate of all the points have been cut in half.

27)



Note: Figures not drawn to scale.

If the two triangles shown are congruent, what is true of the two triangles?

A) Each side of the first triangle has a congruent match on the second triangle.

B) The two triangles are right triangles with congruent sides and angles.

C) The two triangles are equilateral.

D) The two triangles are obtuse.

Explanation:Each side of the first triangle has a match on the second triangle. Because they are congruent, they have equal side and equal anglemeasures.

28)

The white shape can be transformed into the blue one using

A) a dilation, then a rotation.

B) a rotation, then a reflection.

C) a translation, then a dilation.

D) a reflection, then a translation.

Explanation:A a rotation, then a reflection. The white shape is rotated to the yellow one, then the yellow one is reflected to the blue one.



29)

Which triangle would be congruent to the original using a reflection over the x-axis and the y-axis?

A)

B)

C)

D)

Explanation:D is correct. Look at particular points. A reflection over the x-axis and the y-axis, the sign of the x-coordinate and y-coordinate willchange. The point (-1, 1) became (1, -1)

30)


A) dilation

B) reflection

C) rotation

D) translation

Explanation:The letter has been reflected across the line. This is a reflection.

Chamblee Middle Schoolchambleems.dekalb.k12.ga.us/Downloads/IV-T2-CONGRUENT... · 2016-04-05 ·...

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