standard_description: Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
problem_activity: Problem 1
This slider
shows a triangle dilated using different scale factors.
Slide the point to the right and to the left.
What do you notice as you change the scale factor of this figure?
Problem 2
Below is
$${{\overline{BC}}}$$
, with a length of
$$5$$
units and its dilation about the point
$$O$$
,
$${\overline{B'C'}}$$
.
[IMG]
What is the scale factor used to dilate
$${{\overline{BC}}}$$
?
What is the relationship between
$$\overline{BO}$$
and
$$\overline{B'O}$$
? Why does this make sense?
Problem 3
Dilate the following figure using constructions about center
$$A$$
by a factor of
$$3$$
.
[IMG]


aligns: no