IM Geometry Midterm Exam Ch 1-3

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

• A rectangle has 2 pairs of parallel sides.

• Any 2 sides of a rectangle are congruent.

• Congruent parts of congruent figures are corresponding.

• Corresponding parts of congruent figures are congruent.

Tags

CCSS.HSG.CO.B.6

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:

• 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.8.G.A.2

CCSS.HSG.CO.B.6

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 DEF

Tags

CCSS.HSG.CO.B.7

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.HSG.CO.B.6

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 BAD is congruent to angle ABC.

• Angle BDC is congruent to angle BCD.

• Angle ABD is congruent to angle ABC.

• Triangle DAB is congruent to triangle CAB

Tags

CCSS.HSG.SRT.B.5

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

• Side-Angle-Side Triangle Congruence

• Angle-Side-Angle Triangle Congruence

• Side-Side-SIde Triangle Congruence

• Side-Side-Angle Triangle Congruences

Tags

CCSS.HSG.SRT.B.5

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.

• AB is an angle bisector.

• DB is congruent to BC.

• AB is congruent to itself.

• AB is perpendicular to DC.

• Angle ABD is congruent to angle ABC.

Tags

CCSS.HSG.CO.C.9

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 B to L. Rotate the image of figure ABC using M as the center so that the image of A coincides with M.

• 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.

• 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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Select all true statements based on the diagram.

• Angle CBE is congruent to angle ABE

• Angle CEB is congruent to angle DEA

• Segment DA is congruent to segment CB

• 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 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.

• 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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5