IM 7.1.4 Lesson: Scaled Relationships
Each of these polygons is a scaled copy of the others. Name two pairs of corresponding angles. What can you say about the sizes of these angles?
Check your prediction by measuring at least one pair of corresponding angles using a protractor. You can zoom in and out if you need.
Record your measurement of the corresponding angle you chose to the nearest .
Each of these polygons is a scaled copy of the others. You already checked their corresponding angles.
The side lengths of the polygons are hard to tell from the grid, but there are other corresponding distances that are easier to compare. Identify the distances in the other two polygons that correspond to DB and AC, and record them in the table below.
Look at the values in the table. What do you notice? Pause here so your teacher can review your work.
The larger figure is a scaled copy of the smaller figure.
If , how long is the corresponding distance in the second figure? Explain or show your reasoning.
The larger figure is a scaled copy of the smaller figure.
If , how long is the corresponding distance in the first figure? Explain or show your reasoning.
Here are two quadrilaterals. Mai says that Polygon ZSCH is a scaled copy of Polygon XJYN, but Noah disagrees.
Do you agree with either of them? Explain your reasoning. Use the app to help you decide.
Record the corresponding distances in the table.
What do you notice?
Measure at least three pairs of corresponding angles in XJYN and ZSCH using a protractor.
Record your measurements to the nearest . What do you notice?
Here are two more quadrilaterals.
Kiran says that Polygon is a scaled copy of , but Lin disagrees. Do you agree with either of them? Explain or show your reasoning.
All side lengths of quadrilateral are 2, and all side lengths of quadrilateral are 3. Does have to be a scaled copy of ? Explain your reasoning.
Here are two pictures of a bird.
Find evidence that one picture is not a scaled copy of the other. Be prepared to explain your reasoning.