IM Geometry Unit 3 4.3
Presentation
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Mathematics
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9th - 12th Grade
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Practice Problem
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Medium
Standards-aligned
Kathryn Kester
Used 2+ times
FREE Resource
1 Slide • 4 Questions
1
Jade dilated triangle ABC using center P and scale factor 2.
4.3: Proof in Parallel
2
Multiple Choice
Jada claims that all the segments in ABC are parallel to the corresponding segments in A'B'C'. Her teacher asked her to write a conjecture. Which conjecture is Jada's?
If a figure is dilated, then corresponding angles are congruent.
Dilation takes lines to parallel lines.
Dilating a line through the center of dilation will take all the points to points on that same line.
3
Draw
1. Draw ray PC.
2 Place a point E between point P and point C.
3. Dilate point E by scale factor k=2 and label it E'
4. Highlight the angles ECB and E'C'B'.
4
Reorder
Here is Jada's proof. Reorder the steps in the correct order.
Mark a point E on ray BC.
Dilate E and ray BC using center P and scale factor k.
Points E' and C' will both be on ray PC by the definition of dilation
Angle ECB is congruent to angle E'C'B' by the assertion "If a figure is dilated, then corresponding angles are congruent."
Line PC is a transversal for lines BC and B'C'. Corresponding angles are congruent therefore the lines must be parallel.
5
Drag and Drop
Jade dilated triangle ABC using center P and scale factor 2.
4.3: Proof in Parallel
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