Dilating Lines and Angles
Presentation
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Mathematics
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8th - 10th Grade
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Hard
Joseph Anderson
FREE Resource
12 Slides • 7 Questions
1
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Triangle Proportionality Theorem
If a line is parallel to one side of a triangle, & it intersects two sides into two distinct points, then it separates these sides into segments of proportional lengths.
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Fill in the Blanks
Find the length of YZ. Round to the nearest tenth.
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5
Fill in the Blanks
Determine whether PS//QR?
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6
Find the width of the river
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Fill in the Blanks
Based on the diagram, what is the width of the river from point A to point B?
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Angle Bisector Theorem
If a ray bisects an angle of a triangle, then it divides the opposite side proportional to the other two sides.
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Fill in the Blanks
Find QS. Round to the nearest tenth. Not drawn to scale.
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How do you dilate the line segment on the graph centered at a point on the line segment?
Use (2, 4) as the center of dilation. If k = 2, what are the new coordinates?
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Fill in the Blanks
Using the same point of dilation as the previous problem and the same line segment, what would the coordinates be if k = 1/2? Write your answer using a comma between the coordinate and use space & space between the two answers.
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14
How do you dilate the line segment on the graph centered at the origin?
Use (2, 4) as the center of dilation. If k = 2, what are the new coordinates?
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Fill in the Blanks
Using the same point of dilation as the previous problem and the same line segment, what would the coordinates be if k = 1/2? Write your answer in parenthesis with a comma and use space & space between the two answers.
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Use (3, 6) as the center of dilation.
If k = 4, what are the new coordinates?
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Fill in the Blanks
Using the same point of dilation as the previous problem and the same line segment, what would the coordinates be if k = 1/4? Write your answers in parenthesis and use a comma. Between the two answers use space & space.
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Similarity Transformation
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