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.

Triangle DAC is isosceles with congruent sides AD and AC . Which additional given information is sufficient for showing that triangle DBC is isosceles? Select all that apply.

Line AB is an angle bisector of DAC

Angle BDC is congruent to angle BCD.

Triangle DAB is congruent to triangle CAB

Angle BAD is congruent to angle ABC.

Angle ABD is congruent to angle ABC.

What triangle congruence theorem could you use to prove triangle ADE is congruent to triangle CDE ?

Angle-Side-Angle Triangle Congruence

Side-Angle-Side Triangle Congruence

Side-Side-SIde Triangle Congruence

Side-Side-Angle Triangle Congruences

Each statement is always true. Select all statements for which the converse is also always true.

Statement: If 2 lines are perpendicular, then they intersect to form 4 right angles. Converse: If 2 lines intersect to form 4 right angles, then they are perpendicular.

Statement: If a point is equidistant from the 2 endpoints of a segment, then it lies on the perpendicular bisector of the segment. Converse: If a point lies on the perpendicular bisector of a segment, then it is equidistant from the 2 endpoints of the segment.

Statement: In an isosceles triangle, the base angles are congruent. Converse: If the base angles of a triangle are congruent, then the triangle is isosceles.

Statement: If 2 angles are vertical, then they are congruent. Converse: If 2 angles are congruent, then they are vertical.

Statement: If 2 angles form a straight angle, then they are supplementary. Converse: If 2 angles are supplementary, then they form a straight angle.

In isosceles triangle DAC , AD is congruent to AC . Karl knows that the base angles of an isosceles triangle are congruent. Select all the choices that would allow Karl to show that AB is a perpendicular bisector of segment CD.

Angle ABD is congruent to angle ABC.

Triangle DAC is isosceles. What information do you need to show that triangle DBA is congruent to triangle CBA by the Side-Angle-Side Triangle Congruence Theorem?

Angle BAD is congruent to angle BAC.

Angle ABD is congruent to angle BAC.

Angle BAD is congruent to angle BCA.

Refer to the figures. Which of the following is a sequence of rigid motions to take figure CBA to figure MLK ?

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

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

Reflect figure ABC across segment CL. Reflect the image of figure ABC across segment BL.

There isn't a sequence of rigid motions to take figure CBA to figure MLK.

Select all true statements based on the diagram.

Angle CEB is congruent to angle DEA

Segment DA is congruent to segment CB

Angle CBE is congruent to angle ABE

Segment DC is congruent to segment AB

Select all true statements based on the diagram.

Angle CEB is congruent to angle DEA

Segment DA is congruent to segment CB

Angle CBE is congruent to angle DEA

Segment DC is congruent to segment AB

The triangles are congruent. Which sequence of rigid motions takes triangle DEF onto triangle DEF onto triangle BAC .

Translate DEF using directed line segment EA. Rotate D'E'F' using A as the center so that D' coincides with B. Reflect D"E"F across line AB.

Translate DEF using directed line segment. EA. Rotate D'E'F' using A as the center so that D' coincides with C. Reflect D"E"F" across line AC

Translate DEF using directed line segment EA. Rotate D'E'F' using A as the center so that D' coincides with C. Reflect D"E"F" across line AB.

Translate DEF using directed line segment EA. Rotate D'E'F' using A as the center so that D' coincides with B. Reflect D"E"F across line AC.

Lin is using the diagram to prove the statement, "If a parallelogram has one right angle, it is a rectangle." Given that EFGH is a parallelogram and angle HEF is right, which reasoning about angles will help her prove that angle FGH is also a right angle?

Opposite angles in a parallelogram are congruent.

Corresponding angles are congruent when parallel lines are cut by a transversal.

The base angles of an isosceles triangles are congruent.

What conjecture is possible to prove?

If the three sides in a triangle are congruent to the three sides in another triangle, then the two triangles are congruent.

If the four angles in a quadrilateral are congruent to the four angles in another quadrilateral, then the two quadrilaterals are congruent.

If the four sides in a quadrilateral are congruent to the four sides in another quadrilateral, then the two quadrilaterals are congruent.

If the three angles in a triangle are congruent to the three angles in another triangle, then the two triangles are congruent.

Select the statement that must be true.

If a quadrilateral has opposite sides that are both congruent and parallel, then it is a parallelogram.

Parallelograms have at least one right angle.

Parallelograms have congruent diagonals.

The height of a parallelogram is greater than the lengths of the sides.

EFGH is a parallelogram and angle HEF is a right angle. Select all statements that must be true.

Triangle HEF is congruent to triangle FGH

ED is congruent to HD, DG, and DG

Triangle HEF is congruent to triangle GFH

Triangle EDH is congruent to triangle HDG

IM Geometry Unit 2

Quiz

•

Mathematics

•

8th - 10th Grade

•

Practice Problem

•

Hard

•

CCSS

8.G.A.3, HSG.SRT.B.5, HSG.CO.C.11

Standards-aligned

Ellen Mangels

Used 144+ times

FREE Resource

CCSS.HSG.CO.B.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

A rectangle has pairs of parallel sides.

Any 2 sides of a rectangle are congruent.

Corresponding parts of congruent figures are congruent.

Congruent parts of congruent figures are corresponding.

Tags

CCSS.8.G.A.2

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IM Geometry Unit 2

23 questions

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

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

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:

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

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

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

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

Triangle DAC is isosceles with congruent sides AD and AC. Which additional given information is sufficient for showing that triangle DBC is isosceles? Select all that apply.

Triangles ACD and BCD are isosceles. Angle BAC has a measure of 18 degrees and angle BDC has a measure of 48 degrees. Find the measure of angle ABD.

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Similar Resources on Wayground

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Discover more resources for Mathematics

IM Geometry Unit 2

23 questions

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

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

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:

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

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

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

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

Triangle DAC is isosceles with congruent sides AD and AC. Which additional given information is sufficient for showing that triangle DBC is isosceles? Select all that apply.

Triangles ACD and BCD are isosceles. Angle BAC has a measure of 18 degrees and angle BDC has a measure of 48 degrees. Find the measure of angle ABD.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

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:

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