IM Geometry: Unit 2 Lesson 3 Practice Problems

Select all true statements after the transformations:

• Angle A coincides with angle F.

• Angle B coincides with angle D.

• Segment AC coincides with segment EF.

• Segment BC coincides with segment ED.

• Segment AB coincides with segment ED.

Tags

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

Explain why the image of ray CA lines up with ray CE.

• Because they are parallel

• Because they are perpendicular

• Because the rotation was defined this way.

• Because they intersect at a point

Tags

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

Explain why the image of A coincides with E.

• Because A and E are identical.

• Due to the transformation properties.

• Because E and A are the same distance from C.

• Because they are on the same plane.

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

Is triangle CBA congruent to triangle CDE? Choose the correct reasoning.

• Yes, because the transformation mapped all sides and angles onto eachother.

• No, because they do not have the same angles.

• Yes, because they are similar in shape.

• No, because they are not similar.

Tags

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

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 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 AC.

Tags

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

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

• Triangle HGF is congruent to triangle FEH.

• Angle GHK is congruent to angle EFK

• Segment HG is congruent to segment FE.

• Segment FH is congruent to segment HF.

• Angle KHE is congruent to angle KHG.

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.5

Line SD is a line of symmetry for figure ASMHZDPX. Tyler says that ASDPX is congruent to SMDZH because sides AS and MS are corresponding. Why is Tyler's congruence statement incorrect?

• Because SMD and ASD are NOT congruent. He needs to be more careful of the order in which he labels his figures.

• ASDPX and SMDZH are not congruent figures.

• Line SD is not a line of symmetry.

• Tyler's statement is correct.

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Write a correct congruence statement for the pentagons.

• Pentagon ASDPX ≅ Pentagon MSDZH

• Pentagon ASDPX ≅ Pentagon SMHZD

• Pentagon HZDSM ≅ Pentagon MSDZH

• None of these.

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

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

• Segment AC is congruent to segment EF.

• Segment BC is congruent to segment EF.

• Angle BAC is congruent to angle EDF.

• Angle BCA is congruent to angle EDF.

• Angle CBA is congruent to angle FED.

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

When triangle ABC is reflected 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 a perpendicular bisector of segment DC.

• An isosceles triangle has a pair of congruent angles.

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8