Measuring Segments
1. Determine the length of this segment to the nearest
of a unit.
2. Determine the length of this segment to the nearest 0.1 of a unit.
3. Estimate the length of this segment to the nearest
of a unit.
4. Estimate the length of the segment in the previous question to the nearest 0.1 of a unit.
Unit 3: Rigid Transformations and Congruence Lesson 4: No Bending or Stretching
Sides and Angles
1. Translate Polygon A from point
units, next to the side.
to point
. In the image, write the length of each side, in grid
2. Rotate Triangle B 90 degrees clockwise using
as the center of rotation. In the image, write the
measure of each angle in its interior.
3. Reflect Pentagon C across line .
a. In the image, write the length of each side, in grid units, next to the side. You may need to
make your own ruler with the tracing paper or a blank index card.
b. In the image, write the measure of each angle in the interior.
Unit 3: Rigid Transformations and Congruence Lesson 4: No Bending or Stretching
Unit 3: Rigid Transformations and Congruence Lesson 4: No Bending or Stretching
Which One?
Here is a grid showing triangle
and two other triangles.
You can use a rigid transformation to take triangle
to one of the other triangles.
1. Which one? Explain how you know.
2. Describe a rigid transformation that takes
to the triangle you selected.
Unit 3: Rigid Transformations and Congruence Lesson 4: No Bending or Stretching
Are you ready for more?
Three angles are visible in the diagram at point
. What can you say about the measures of these
angles?
Unit 3: Rigid Transformations and Congruence Lesson 4: No Bending or Stretching
A Pattern Of Four Triangles
You can use rigid transformations of a figure to make patterns. Here is a diagram built with three
different transformations of triangle
.
1. Describe a rigid transformation that takes triangle
to triangle
.
2. Describe a rigid transformation that takes triangle
to triangle
.
Unit 3: Rigid Transformations and Congruence Lesson 4: No Bending or Stretching
3. Describe a rigid transformation that takes triangle
4. Diego says that segments
why or why not.
,
,
, and
to triangle
.
are all the same length. Do you agree? Explain
Unit 3: Rigid Transformations and Congruence Lesson 4: No Bending or Stretching
Are you ready for more?
Determine the area of the large square
, then the small center polygon
Unit 3: Rigid Transformations and Congruence Lesson 4: No Bending or Stretching
.