U2L5 Points, Segments, and Zigzags

Translate figure ABC by the directed line segment from ​ (a)   to F.

Rotate the image of figure ABC using F as the ​ (b)   so that the image of B coincides with ​ (c)   .

• C
• center
• E

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

Segments AB and CD are the ​ (a)   length so they are congruent.

Therefore, there is a rigid motion that takes AB to ​ (b)   .

Apply that rigid motion to the circle centered at A. Since circles are defined as the ​ (c)   a given distance from the ​ (d)   , once the centers and radii ​ (e)   all points on the circles must coincide.

• CD
• set of all points
• center
• coincide
• same

Tags

CCSS.HSG.CO.B.6

Match each statement using only the information shown in the pairs of congruent triangles.

• ASA Congruence

• 
• SAS Congruence

• 
• SSS Congruence

• 

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Triangle HEF is the image of triangle HGF after a reflection across line FH.

Write a congruence statement for the 2 congruent triangles.

△ FGH ≅ △

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Select all true statements after the transformations:

• Angle A coincides with angle F.

• Angle B coincides with angle D.

• Angle C coincides with angle E.

• Segment BA coincides with segment DE.

• Segment BC coincides with segment FE.

Tags

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10