Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum

Monthly Update sign up
Mailing List signup
Follow The Annenberg Learner on LinkedIn Follow The Annenberg Learner on Facebook Follow Annenberg Learner on Twitter
Learning Math Home
Geometry Session 3: Solutions
Session 3 Part A Part B Part C Homework
geometry Site Map
Session 3 Materials:

A B C 


Solutions for Session 3, Part B

See solutions for Problems: B1 | B2 | B3 | B4 | B5 | B6

Problem B1


<< back to Problem B1


Problem B2

See the diagram below. Note that shapes e, f, h, j, and m are neither triangular, regular, nor concave, so they belong outside all three circles of the diagram.

3 circles

<< back to Problem B2

<< back to Problem B2 non-interactive version


Problem B3






<< back to Problem B3

<< back to Problem B3 non-interactive version


Problem B4


Label 1 is Irregular, Label 2 is Regular, and Label 3 is Pentagon.


The overlap would have to contain polygons that are simultaneously regular and irregular. No such polygons exist!


Every pentagon is either regular or irregular. For there to be a polygon in the Label 3 circle but not in any others, there would have to be a pentagon which is neither regular nor irregular. This is impossible.

<< back to Problem B4


Problem B5

Answers will vary. One possibility is to label the regions Triangle, Quadrilateral, and Pentagon.

<< back to Problem B5


Problem B6

Answers will vary. One possibility is Not Triangle, Not Quadrilateral, and Not Hexagon. Even if a shape is one of those three things, it's sure to not be the other two, so every shape is in the overlap of two circles, and some (pentagons) are in the overlap of all three.

<< back to Problem B6


Learning Math Home | Geometry Home | Glossary | Map | ©

Session 3 | Notes | Solutions | Video

© Annenberg Foundation 2016. All rights reserved. Legal Policy