Illustrative Mathematics - Geometry - Mathematics - Unit 2 - Lesson 1

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.

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• {"blocks":[{"key":"0","text":"EFGH has 4 congruent sides.","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":"7rbq","text":"Angle FEH 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

G.CO.5

Reflect right triangle ABC across line BC. Classify triangle ACA' according to its side lengths. Explain how you know.

Tags

G.CO.6

G.CO.7

G.CO.5

Triangles FAD and DCE are translations of triangle ABC Select all the statements that must be true.

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• {"blocks":[{"key":"0","text":"The measure of angle BCA is the same as the measure of angle CED.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":21,"length":3,"style":"BOLD"},{"offset":61,"length":3,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"Line AD is parallel to line BC.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":5,"length":2,"style":"BOLD"},{"offset":28,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"The measure of angle CED is the same as the measure of angle FAD.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":21,"length":3,"style":"BOLD"},{"offset":61,"length":3,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"The measure of angle DAC is the same as the measure of angle BCA.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":21,"length":3,"style":"BOLD"},{"offset":61,"length":3,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}

Tags

G.CO.6

G.CO.7

G.CO.5

Triangle ABC is congruent to triangles BAD and CEA. Explain why points D, A, and E are collinear.Explain why line DE is parallel to line BC.

Tags

G.CO.6

G.CO.7

G.CO.5

Identify a figure that is the result of a rigid transformation of quadrilateral ABCD.Describe a rigid transformation that would take ABCD to that figure.

Tags

G.CO.6

G.CO.7

G.CO.5

MP.1