Illustrative Mathematics - Geometry - Mathematics - Unit 2 - Lesson 3

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:

• {"blocks":[{"key":"0","text":"Angle A coincides with angle F.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":6,"length":1,"style":"BOLD"},{"offset":29,"length":1,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"Angle B coincides with angle D.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":6,"length":1,"style":"BOLD"},{"offset":29,"length":1,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"Segment AC coincides with segment EF.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":8,"length":2,"style":"BOLD"},{"offset":34,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"Segment BC coincides with segment ED.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":8,"length":2,"style":"BOLD"},{"offset":34,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"1u849","text":"Segment AB coincides with segment ED.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":8,"length":2,"style":"BOLD"},{"offset":34,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}

Tags

G.CO.7

8.G.1.a

8.G.1.b

G.CO.8

A rotation by angle ACE using point C as the center takes triangle CBA onto triangle CDE. Explain why the image of ray CA lines up with ray CE.Explain why the image of C coincides with E.Is triangle CBA congruent to triangle CDE? Explain your reasoning.

Tags

G.CO.7

8.G.1.a

8.G.1.b

G.CO.8

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

• {"blocks":[{"key":"0","text":"Triangle HGF is congruent to triangle FEH.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":9,"length":4,"style":"BOLD"},{"offset":38,"length":3,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"Triangle GFH is congruent to triangle EFH.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":9,"length":3,"style":"BOLD"},{"offset":38,"length":3,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"Angle KHE is congruent to angle KHG.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":6,"length":3,"style":"BOLD"},{"offset":32,"length":3,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"Angle GHK is congruent to angle EFK.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":6,"length":3,"style":"BOLD"},{"offset":32,"length":3,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"Segment EH is congruent to segment GH.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":8,"length":2,"style":"BOLD"},{"offset":35,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}

Tags

G.CO.7

8.G.1.a

8.G.1.b

G.CO.8

Line SD is a line of symmetry for figure ASMHZDPX. Tyler says that ASDPX is congruent to SMDZH because sides AS and MS are corresponding. Why is Tyler's congruence statement incorrect?Write a correct congruence statement for the pentagons.

Tags

G.CO.7

8.G.1.a

8.G.1.b

G.CO.8

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

• {"blocks":[{"key":"0","text":"Segment AC is congruent to segment EF.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":8,"length":3,"style":"BOLD"},{"offset":35,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"Segment BC is congruent to segment EF.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":8,"length":2,"style":"BOLD"},{"offset":35,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"Angle BAC is congruent to angle EDF.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":6,"length":3,"style":"BOLD"},{"offset":32,"length":3,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"Angle BCA is congruent to angle EDF.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":6,"length":3,"style":"BOLD"},{"offset":32,"length":3,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"bbclp","text":"Angle CBA is congruent to angle DEF.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":6,"length":3,"style":"BOLD"},{"offset":32,"length":3,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}

Tags

G.CO.7

8.G.1.a

8.G.1.b

G.CO.8

Line DE is parallel to line BC. What is the measure of angle EAC?What is the measure of angle DAB?

Tags

G.CO.7

8.G.1.a

8.G.1.b

G.CO.8