4-3 Practice

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1

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

A. 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.

B. 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.

C. 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.

D. 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.

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1

Which of the following is the best explaination for why the image of ray CA lines up with ray CE AND why the image of A coincides with E?

After the counterclockwise rotation, points A and E will line up with each other. Therefore, ray CA lines up with ray CE and points A and E will coincide with each other.

Any rotation that puts point A on point E will make them line up with each other. Therefore, ray CA lines up with ray CE and points A and E will coincide with each other.

Any rotation around point C will put point A on point E. Therefore, ray CA lines up with ray CE and points A and E will coincide with each other.

The rotation by angle ACE with center C forces point A to coincide with point C, which makes rays CA and CE line up with each other.

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1

Put the following explainations for why triangle CBA is congruent to triangle CDE in order from best to worst.

Triangle CBA is congruent to triangle CDE because the triangle CBA and triangle CDE are the same. They have the same area and both are triangles.
Triangle CBA is congruent to triangle CDE because they have the same side lenghts, angle measures, and areas.
Triangle CBA is congruent to triangle CDE because the triangles can be moved to one another by translation, reflection, and/or rotation.
Triangle CBA is congruent to triangle CDE because all the points line up and they have the same side legths and angle measures.

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1

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

A. Segment AC is congruent to segment EF.

B. Segment BC is congruent to segment EF.

C. Angle BAC is congruent to angle EDF.

D. Angle BCA is congruent to angle EDF.

E. Angle CBA is congruent to angle FED.

4-3 Practice

Triangle ABC is congruent to triangle EDF. So Kiran knows that there is a sequence of rigid motions that takes ABC to EDF.

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

Put the following explainations for why triangle CBA is congruent to triangle CDE in order from best to worst.

Why is Tyler's congruence statement incorrect?

Triangle ABC is congruent to triangle EDF. So Kiran knows that there is a sequence of rigid motions that takes ABC to EDF.

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

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

Which of the following is the best explaination for why the image of ray CA lines up with ray CE AND why the image of A coincides with E?

Put the following explainations for why triangle CBA is congruent to triangle CDE in order from best to worst.

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

Why is Tyler's congruence statement incorrect?

Why is angle ACD congruent to angle ADB?

What is the measure of angle EAC?

What is the measure of angle DAB?

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

Which of the following is the best explaination for why the image of ray CA lines up with ray CE AND why the image of A coincides with E?

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

Why is angle ACD congruent to angle ADB?

What is the measure of angle EAC?

What is the measure of angle DAB?