Illustrative Mathematics - Geometry - Unit 6 - Lesson 12

Main Street is parallel to Park Street. Park Street is parallel to Elm Street. Elm is perpendicular to Willow. How does Willow compare to Main?

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G.GPE.5

A.CED.2

The line which is the graph of y=2x-4 is transformed by the rule (x,y)\rightarrow(-x,-y). What is the slope of the image?

Tags

G.GPE.5

A.CED.2

Select all equations whose graphs are lines perpendicular to the graph of 3x+2y=6

• {"blocks":[{"key":"0","text":"3x-2y=4","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":7,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"0","text":"2x+3y=6","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":7,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"0","text":"2x-3y=6","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":7,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"0","text":"(y-4)=\\frac{2}{3}(x-6)","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":22,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"0","text":"(y-2)=-\\frac{3}{2}(x-8)","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":23,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}

Tags

G.GPE.5

A.CED.2

The graph of  y=-4x+2 is translated by the directed line segment AB shown. What is the slope of the image?

Tags

G.GPE.5

A.CED.2

Select all points on the line with a slope of -\frac{1}{2} that go through the point (4,-1).

• (-2,2)
• (0,2)
• (4,-1)
• (0,1)
• (-3,8)

Tags

G.GPE.5

A.CED.2

One way to define a circle is that it is the set of all points that are the same distance from a given center. How does the equation (x-h)^{2}+(y-k)^{2}=r^{2} relate to this definition? Draw a diagram if it helps you explain.

Tags

G.GPE.5

A.CED.2