Open Up Resources, Illustrative Mathematics, Grade 8
Which of these sequences would NOT return a shape to its original position?
Diego made the shape on the left and Elena made the sahpe on the right. Each shape uses 5 circles. Select all the true statements.
Describe a sequence of transformations that shows that Polygon A is congruent to Polygon B. Be specific!
Lines AB and CD are parallel. What is the measure of angle FAB? Just write the number!
Lines AB and CD are parallel. What is the measure of angle ABF? Just write the number!
Lines AB and CD are parallel. What is the measure of angle AFB? Just write the number!
Is Shape A congruent to Shape B? Use a ruler! Write your measurements. You may use anything else in the geometry tool kits as well. Explain your reasoning.
Is Shape B congruent to Shape A? Use a ruler! Write your measurements. You may use anything else in the geometry tool kits as well. Explain your reasoning.
If you were to describe a translation, what information would you need to include in your description? Select all that are needed!
If you were to describe a rotation, what information would you need to include in your description? Select all that are needed!
If you were to describe a reflection, what information would you need to include in your description? Select all that are needed!
Graph Triangle UML and U'M'L'. Don't forget to connect the dots!
U (-3, -4)
M (-1, -1)
L (-2, -5)
Translate UML 5 units up, draw the image in a different color, and label the image U'M'L'.
Graph Quadrilateral TCZF and T'C'Z'F'. Don't forget to connect the dots!
T (2, 2)
C (2, 5)
Z (5, 4)
F (5, 0)
Reflect TCZF across the x-axis, draw the image in a different color, and label the image T'C'Z'F'.
The point (3, 3) is translated 4 units down and 1 unit left. What are the new coordinates of the image? Use your graph paper and tracing paper!
The point (-2, -4) is reflected across the y-axis. What are the new coordinates of the image? Use your graph paper and tracing paper!
The point (-5, 3) is rotated 180 degrees clockwise using the origin as the center of rotation. What are the new coordinates of the image? Use your graph paper and tracing paper!
If angle 1 is 120 degrees, what are the measures of all the other angles?
Angle 5 measures 30 degrees. Angle 6 measures 80 degrees. Find the measures of all the other angles.
What is the measure of angle h? Use what you know about straight lines and triangles! Just write the number!
What is the name for the congruent pair of angles located inside two parallel lines on opposite sides of the transversal?