Illustrative Mathematics - Geometry - Mathematics - Unit 2 - Lesson 3 - Formative Library | Library

1

8.G.1.a

8.G.1.b

…

1

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

8.G.1.a

8.G.1.b

…

1

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

8.G.1.a

8.G.1.b

…

1

8.G.1.a

8.G.1.b

…

1

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?
Write a correct congruence statement for the pentagons.

8.G.1.a

8.G.1.b

…

1

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

8.G.1.a

8.G.1.b

…

1

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

8.G.1.a

8.G.1.b

…

1

Line DE is parallel to line BC.

What is the measure of angle EAC?
What is the measure of angle DAB?

8.G.1.a

8.G.1.b

…

This lesson is from Illustrative Mathematics. Geometry, Unit 2, Lesson 3. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/2/3/index.html ; accessed 29/July/2021.

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Illustrative Mathematics - Geometry - Mathematics - Unit 2 - Lesson 3

Illustrative Mathematics - Geometry - Mathematics - Unit 2 - Lesson 3

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

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

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?
Write a correct congruence statement for the pentagons.

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

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

Line DE is parallel to line BC.

What is the measure of angle EAC?
What is 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:

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

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

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

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?
Write a correct congruence statement for the pentagons.

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

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

Line DE is parallel to line BC.

What is the measure of angle EAC?
What is the measure of angle DAB?

Illustrative Mathematics - Geometry - Mathematics - Unit 2 - Lesson 3

Illustrative Mathematics - Geometry - Mathematics - Unit 2 - Lesson 3

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

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

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?Write a correct congruence statement for the pentagons.

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

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

Line DE is parallel to line BC.What is the measure of angle EAC?What is 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:

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

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

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

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?Write a correct congruence statement for the pentagons.

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

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

Line DE is parallel to line BC.What is the measure of angle EAC?What is the measure of angle DAB?

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

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?
Write a correct congruence statement for the pentagons.

Line DE is parallel to line BC.

What is the measure of angle EAC?
What is 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:

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

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?
Write a correct congruence statement for the pentagons.

Line DE is parallel to line BC.

What is the measure of angle EAC?
What is the measure of angle DAB?