Log in
Sign up for FREE
arrow_back
Library

Geometry Unit 2 - Lesson 03 - page 205 to 208

star
star
star
star
star
Last updated over 1 year ago
8 questions
Required
1
8.G.1.a
8.G.1.b
…
Required
1
8.G.1.a
8.G.1.b
…
Required
1
8.G.1.a
8.G.1.b
…
Required
1
8.G.1.a
8.G.1.b
…
Required
1
8.G.1.a
8.G.1.b
…
Required
1
8.G.1.a
8.G.1.b
…
Required
1
8.G.1.a
8.G.1.b
…
Required
1
8.G.1.a
8.G.1.b
…
Question 1
1.

Question 2
2.

A rotation by angle ACE using point C as the center takes triangle CBA onto triangle CDE.
  1. Explain why the image of ray CA lines up with ray CE.
  2. Explain why the image of C coincides with E.
  3. Is triangle CBA congruent to triangle CDE? Explain your reasoning.

Draggable itemarrow_right_altCorresponding Item
Explain why the image of C coincides with E.
arrow_right_alt
The image of ray CA and CE coincide after rotating because we defined our rotation that way.
arrow_right_alt
arrow_right_alt
Question 3
3.

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

Question 4
4.

Question 5
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.

a. Why is Tyler's congruence statement incorrect? Tyler's congruence statement tells us corresponding angles, however angle ASD is not congruent to angle _______ as Tyler’s statement indicates.

b. Write a correct congruence statement for the pentagons.

ASDPX ≅ _______ .
Question 6
6.

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

Question 7
7.

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

Question 8
8.
Line DE is parallel to line BC.

  1. Which lower case letter represents the measure of angle EAC? _______ °.
  2. Which lower case letter represents the measure of angle DAB? _______ °.
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:
Segment AC coincides with segment EF.
Segment BC coincides with segment ED.
Segment AB coincides with segment ED.
Is triangle CBA congruent to triangle CDE? Explain your reasoning.
Transformations preserve distance so the image of point A and point E are the same distance along the same ray from C they have to coincide.
Explain why the image of ray CA lines up with ray CE.
Yes. The rotation would also make the image of B coincide with D. So there is a rigid motion that takes CBA onto CDE.
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 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 A. Reflect X" Y" Z" across line AC.
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.
Triangle GFH is congruent to triangle EFH.
Angle KHE is congruent to angle KHG.
Angle GHK is congruent to angle EFK.
Segment EH is congruent to segment GH.
Segment HG is congruent to segment FE.
Segment FH is congruent to segment HF.
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 DEF.
Segment AB is a perpendicular bisector of segment DC.