When performing a sequence of transformations, which is the correct order?

Translate, rotate, then reflect

Reflect, rotate, then translate

Translate, reflect, then rotate

Rotate, translate, then reflect

When rectangle ABCD is reflected across line EF, the image is DCBA. How do you know that segment AB is congruent to segment DC?

Corresponding parts of congruent figures are congruent.

A rectangle has 2 pairs of parallel sides.

Any 2 sides of a rectangle are congruent.

Congruent parts of congruent figures are corresponding.

Triangle HEF is the image of triangle FGH after a 180 degree rotation about point K. Select all statements that must be true.

Angle EHF is congruent to angle FGH

Diagonal FH bisects angles EFG and EHG

Angle FEH is congruent to angle FGH

Diagonal FH is perpendicular to side FE

Triangle ABC is congruent to triangle EDF. So, Kiran knows that there is a sequence of rigid motions that takes ABC to EDF. Select all true statements after the transformations:

Angle B coincides with angle D.

Segment AC coincides with segment EF.

Segment AB coincides with segment ED.

Segment BC coincides with segment ED.

The triangles are congruent. Which sequence of rigid motions will take triangle XYZ onto triangle BCA?

Translate XYZ using directed line segment YC. Rotate X'Y'Z' using C as the center so that X' coincides with B. Reflect X"Y"Z" across line CB

Translate XYZ using directed line segment YC. Rotate X'Y'Z' using C as the center so that X' coincides with B. Reflect X"Y"Z" across line AC.

Translate XYZ using directed line segment YC. Rotate X'Y'Z' using C as the center so that X' coincides with A. Reflect X"Y"Z" across line CB.

Translate XYA using directed line segment YC. Rotate X'Y'Z' using C as the center so that X' coincides with A. Reflect X"Y"Z across line AC.

Triangle ABC is congruent to triangle DEF. Select all the statements that are a result of corresponding parts of congruent triangles being congruent.

Segment BC is congruent to segment EF

Angle BAC is congruent to angle EDF

Angle CBA is congruent to angle DEF

Segment AC is congruent to segment EF

Angle BCA is congruent to angle EDF

When triangle ABC is reflect across line AB, the image is triangle ABD. Why is angle ACD congruent to angle ADB?

Corresponding parts of congruent figures are congruent.

Congruent parts of congruent figures are corresponding.

Segment AB is perpendicular bisector of segment DC

An isosceles triangle has a pair of congruent angles

When rectangle ABCD is reflected across line EF , the image is BADC . How do you know that segment AD is congruent to segment BC ?

Corresponding parts of congruent figures are congruent.

A rectangle has pairs of parallel sides.

Any 2 sides of a rectangle are congruent.

Congruent parts of congruent figures are corresponding.

Write a sequence of rigid motions to take figure ABC to figure DEF.

Translate figure ABC by the directed line segment from C to F . Rotate the image of figure ABC using F as the center so that the image of B coincides with E.

Rotate figure ABC using B as the center. Translate figure ABC by the directed line segment from C to F so that the image of C coincides with F.

Translate figure ABC by the directed line segment from C to F. Reflect figure ABC over line segment FE so that the image of A coincides with D.

Reflect figure ABC over line segment FE so that the image of A coincides with D. Rotate figure ABC using B as the center.

Im Geometry

Quiz

•

Mathematics

•

10th Grade

•

Practice Problem

•

Hard

•

CCSS

HSG.CO.A.4, 8.G.A.5, 8.G.A.3

+6

Standards-aligned

Anthony Clark

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Which of the following equations must be true based on the figure?

60+58+x=180

60+y=x

60+58=x

58+y=x

Tags

CCSS.8.G.A.5

2.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Lines m and n are parallel. Which statement MUST be true?

Angle 1 + Angle 2 = 100

Angle 1 = Angle 6

Angle 5 + Angle 7 = 180

Angle 2 = Angle 8

Tags

CCSS.8.G.A.5

3.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Which of the following doesn't HAVE to be true?

PX = PX'

PJ is the perpendicular bisector of XX'

X' is a reflection of X across line PJ

2PB = XP

Tags

CCSS.HSG.CO.C.9

4.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Select the sequence of transformations that will take Polygon P to Polygon Q.

Rotate 180 degrees about point A.

Translate so that A is taken to J. Then reflect over BA.

Rotate 60 degrees counterclockwise around A, then reflect over FA.

Reflect over line BA, then rotate 60 degrees counterclockwise about point A.

Tags

CCSS.8.G.A.3

5.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Find the value of y in the figure.

58

60

62

118

Tags

CCSS.8.G.A.5

6.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

This star is inscribed in a circle. What is the smallest angle of rotation symmetry it has?

72 degrees

144 degrees

180 degrees

216 degrees

Tags

CCSS.HSG.CO.A.4

7.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Find the value of x in the figure.

58

60

118

122

Tags

CCSS.8.G.A.5

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Im Geometry

20 questions

Which of the following equations must be true based on the figure?

Lines m and n are parallel. Which statement MUST be true?

Which of the following doesn't HAVE to be true?

Select the sequence of transformations that will take Polygon P to Polygon Q.

Find the value of y in the figure.

This star is inscribed in a circle. What is the smallest angle of rotation symmetry it has?

Find the value of x in the figure.

Which figure below has 120 degree rotation symmetry?

Which figure below has 180 degree rotation symmetry?

This star is inscribed in a circle. Which of the following angles of rotation would result in Point 1 going to point 2 in a CLOCKWISE turn?

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