U2L3 Congruent Triangles, Part 1

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.HSG.CO.A.2

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

Explain why the image of ray CA lines up with ray CE.

The image of ray CA and CE ​ (a)   after rotating because we ​ (b)   our rotation that way.

• coincide
• defined

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

Explain why the image of A coincides with E.

Transformations preserve ​ (a)   so the image of point A and point E are the ​ (b)   distance along the same ray from ​ (c)   they have to coincide.

• distance
• same
• C

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

Is triangle CBA congruent to triangle CDE? Explain your reasoning.

​ (a)   . The ​ (b)   would also make the image of B ​ (c)   with D. So there is a rigid motion ​ (d)   CBA onto CDE.

• Yes
• rotation
• coincide
• that takes

Tags

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

• 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 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 A. 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.

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

Select all statements that must be true.

• Triangle HGF is congruent to triangle FEH.

• 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.

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Tags

CCSS.8.G.A.2

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 FED.

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

Why is angle ACD congruent to angle ADB?

• Corresponding parts of congruent figures are congruent.

• Congruent parts of congruent figures are corresponding.

• Segment AB is a perpendicular bisector of segment DC.

• An isosceles triangle has a pair of congruent angles.

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2