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

Line SD is a line of symmetry for figure AXPDZHMS. Noah says that AXPDS is congruent to HMZDS because sides AX and HM are corresponding. Why is Noah’s congruence statement incorrect?Write a correct congruence statement for the pentagons.

Tags

G.CO.6

G.CO.7

FIgure MBJKGH is the image of figure AFEKJB after being rotated 90 degrees counterclockwise about point K. Draw a segment in figure AFEKJB to create a quadrilateral. Draw the image of the segment when rotated 90 degrees counterclockwise about point K. Write a congruence statement for the quadrilateral you created in figure AFEKJB and the image of the quadrilateral in figure MBJKGH.

Tags

G.CO.6

G.CO.7

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

• {"blocks":[{"key":"0","text":"Triangle FGH is congruent to triangle FEH.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":9,"length":3,"style":"BOLD"},{"offset":38,"length":3,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"Triangle EFH is congruent to triangle GFH.","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 KFG.","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 KHE.","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 FG.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":8,"length":2,"style":"BOLD"},{"offset":35,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}

Tags

G.CO.6

G.CO.7

Elena needs to prove angles BED and BCA are congruent. Provide reasons to support each of her statements. Line m is parallel to line l.Angles BED and BCA are congruent.

Tags

G.CO.6

G.CO.7

Triangle FGH is the image of isosceles triangle FEH after a reflection across line HF. Select all the statements that are a result of corresponding parts of congruent triangles being congruent.

• {"blocks":[{"key":"0","text":"EFGH is a rectangle.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":0,"length":5,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"EFGH is a rhombus.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":0,"length":5,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"Diagonal FH bisects angles EFG and EHG.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":9,"length":2,"style":"BOLD"},{"offset":27,"length":3,"style":"BOLD"},{"offset":35,"length":3,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"Diagonal FH is perpendicular to side FE.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":9,"length":2,"style":"BOLD"},{"offset":37,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"Angle EHF is congruent to angle FGH.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":6,"length":3,"style":"BOLD"},{"offset":32,"length":3,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}

Tags

G.CO.6

G.CO.7

This design began from the construction of a regular hexagon. Draw 1 segment so the diagram has another hexagon that is congruent to hexagon ABCIHG.Explain why the hexagons are congruent.

Tags

G.CO.6

G.CO.7