Illustrative Mathematics - Geometry - Mathematics - Unit 2 - Lesson 10

Painters and carpenters use scaffolding to climb buildings from the outside. What shapes do you see? Why does one figure have more right angles?

Tags

7.G.2

G.CO.11

Select all true statements based on the diagram.

• {"blocks":[{"key":"0","text":"Angle CBE is congruent to angle ABE.","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 CEB is congruent to angle DEA.","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 DA is congruent to segment CB.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":8,"length":2,"style":"BOLD"},{"offset":35,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"Segment DC is congruent to segment AB.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":8,"length":2,"style":"BOLD"},{"offset":35,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"Line DC is parallel to line AB.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":5,"length":2,"style":"BOLD"},{"offset":28,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}

Tags

7.G.2

G.CO.11

Prove ABCD is a parallelogram.

Tags

7.G.2

G.CO.11

Tyler has proven that triangle WYZ is congruent to triangle WYX using the Side-Side-Side Triangle Congruence Theorem. Why can he now conclude that diagonal WY bisects angles ZWX and ZYX?

Tags

7.G.2

G.CO.11

WXYZ is a kite. Angle WXY has a measure of 133 degrees and angle ZYX has a measure of 34 degrees. Find the measure of angle ZWY.

Tags

7.G.2

G.CO.11

Segment EG is an angle bisector of angle FGH. Noah wrote a proof to show that triangle HEG is congruent to triangle FEG. Noah's proof is not correct. Why is Noah's proof incorrect? Side EG is congruent to side EG because they're the same segment.Angle EGH is congruent to angle EGF because segment EG is an angle bisector of angle FGH.Angle HEG is congruent to angle FEG because segment EG is an angle bisector of angle FGH.By the Angle-Side-Angle Triangle Congruence Theorem, triangle HEG is congruent to triangle FEG.

Tags

7.G.2

G.CO.11

Figure HNMLKEFG is the image of figure ABCDKLMN after being rotated 90 degrees counterclockwise around point K. Draw an auxiliary line in figure ABCDKLMN to create a quadrilateral. Draw the image of the auxiliary line when rotated 90 degrees counterclockwise around point K. Write a congruence statement for the quadrilateral you created in figure ABCDKLMN and the image of the quadrilateral in figure HNMLKEFG.

Tags

7.G.2

G.CO.11