MAT 3050 Geometry

Professor Kate Poirier | D800 | Spring 2025

Week 6 checklist

March 10, 2025 / / 0 Comments

Monday, March 10 to Sunday, March 16

Lessons

Homework

  • Homework #4 hardcopy due in class Wednesday, March 12
  • No homework due next week; Test #1 instead

Other

  • Test #1 will be given in class on Monday, March 17. It will cover all topics from Unit 1 (2-dimensional Euclidean geometry) except for basic constructions.
… Read More

Homework #4

March 5, 2025 / / 0 Comments

Hard copy due in class Wednesday, March 12

See homework guidelines and tips here

  1. Let that the square ◻ABCD be similar to the square ◻A′B′C′D′ with a proportionality constant λ=52 (when going from ◻ABCD to ◻A′B′C′D′). Assume that |AB―|=x+3 and |A′B′―|=3x+5. Determine the perimeter of ◻ABCD. (Your answer should be a number.)
  2. Consider two intersecting chords in a circle. The intersection point cuts one chord into two pieces: one of length a and one of length b. The intersection point cuts the other
… Read More

Week 5 checklist

March 3, 2025 / / 0 Comments

Monday, March 3 to Sunday, March 9

Schedule

  • Thursday, March 6 follows a Wednesday schedule, so we’ll see each other Monday, Wednesday, and Thursday

Lessons

  • Circles and inscribed angles
  • Transformations in the coordinate plane
  • Basic constructions (if time)

Homework

  • Homework #3 hard copy due in class Wednesday, March 5
  • Homework #4 hard copy due in class Wednesday, March 12

Other

  • Test #1
    • In class Monday, March 17
    • Covers everything from Unit 1 on the schedule (the schedule is still out of date, but the topics are listed in the correct order)
    • Start
… Read More

Homework #3

February 26, 2025 / / 2 Comments

Hard copy due in class Wednesday, March 5

See homework guidelines and tips here

  1. Venema 0.9.2 (page 10)
  2. Prove that the diagonals of any rhombus are perpendicular to each other.
  3. Let the lengths of the diagonals of a rhombus be d1 and d2. Prove that the area of this rhombus is A=12d1d2.
  4. Prove that the diagonals of any isosceles trapezoid are congruent.
  5. Prove that the sum of the measures of the exterior angles of any polygon is 360∘.
… Read More

Week 4 checklist

February 24, 2025 / / 0 Comments

Monday, February 24 to Sunday, March 2

Lessons (may be adjusted)

  • Polygons (K1 1.4)

Homework

  • Homework #2 hard copy due in class Wednesday, February 26
  • Project #1 Parts 2 & 3 due on the OpenLab by Sunday, March 2 (extension)
  • Homework #3 hard copy due in class Wednesday, March 5

Schedule

  • Next week, Thursday, March 6 follows a Wednesday schedule, so we’ll see each other Monday, Wednesday, and Thursday
  • According to our original schedule, Test #1 was planned for Thursday, March 6. The test will be postponed until we finish all of the content in Unit 1.
… Read More

Homework #2

February 18, 2025 / / 2 Comments

Hard copy due in class Wednesday, February 26

See homework guidelines and tips here

  1. Triangles △ABC and △DEF are similar. Lengths AB=4, BC=2, AC=5, and DE=6. Find the lengths EF and DF.
  2. Consider two parallel lines that are intersected by a transversal, forming eight angles. Assume that one of the eight angles is 42∘. Find the measures of the other seven angles.
  3. Consider two supplementary angles. Prove that the bisectors of these angles are perpendicular to each other.
  4. Consider the bisector of one of the exterior angles of a triangle.
… Read More

Week 3 checklist

February 18, 2025 / / 0 Comments

Monday, February 17 to Sunday, February 23

Schedule

  • Monday, February 17 is a holiday (no class)
  • Tuesday, February 18 follows a Monday schedule, so we meet on Tuesday and Wednesday this week

Lessons

  • Similar triangles (part 2)
  • Quadrilaterals
  • Polygons

Homework and deadlines

  • Homework #1 hard copy due in class Wednesday, February 19
  • Project #1
    • Part 1 due on the OpenLab Wednesday, February 19
    • Parts 2 & 3 due on the OpenLab Wednesday, February 26
  • Homework #2 hard copy due in class Wednesday, February 26
… Read More

Biography of Black Mathematician-Black History months

February 15, 2025 / / 0 Comments

Benjamin Banneker was well known as self-taught mathematical genius with no formal education. He is from Baltimore Maryland.  He was an astronomer, almanac author, landowner, surveyor, and a farmer.   Born November 9, 1731, and died October 9th, 1806, to a free African American mother and father who had formerly been enslaved.

Benjamin Banneker mathematical contribution led him to the prediction of moon, eclipse, and return of pest.  His works includes publishing of almanacs for six years in a row, built one of the first wooden clock in America which kept for decades, and almanac works of astronomical calculations, … Read More

Project 1 – Pythagorean theorem proofs

February 10, 2025 / / 6 Comments

Part 0 due ASAP

Part 1 due Wednesday, February 19

Parts 2 & 3 due Wednesday, February 26 Sunday, March 2

Introduction

The Pythagorean theorem—the square of the hypotenuse of a right triangle is equal to the sum of the squares of the two other sides—is arguably the most famous mathematical result. While many people remember the statement of the theorem from high school, way fewer people know a proof…and even fewer know that there are literally hundreds of proofs!

Summary

For this project, you and your team will:

  1. choose one of the proofs of the Pythagorean theorem to learn,
… Read More

Week 2 checklist

February 10, 2025 / / 0 Comments

Monday, February 10 to Sunday, February 16

Lesson

  • Perpendicular lines and parallel lines (part 2) (V 0.6)
  • Similar Triangles (V 0.8)

Homework

  • Homework #1 due in class Wednesday, February 19
  • Project #1
    • Part 0 due ASAP
    • Part 1 due Wednesday, February 19
    • Parts 2 & 3 due Wednesday, February 26
  • Homework #2 will be posted next week, due in class Wednesday, February 26

Coming up…

  • Wednesday, February 12 is a holiday (no class)
  • Monday, February 17 is a holiday (no class)
  • Tuesday, February 18 follows a Monday schedule (so next week, we have class Tuesday and Wednesday)
… Read More
« Older posts

License

Attribution-NonCommercial (CC BY-NC)

Unless otherwise noted, this site has a Creative Commons Attribution-NonCommercial (CC BY-NC) license. Learn more.

OpenLab Help

Need help?
The OpenLab team offers a selection of Help materials, Virtual Office Hours, and support via email.

© 2025 MAT 3050 Geometry

Theme by Anders Noren — Up ↑

The OpenLab at City Tech:A place to learn, work, and share

The OpenLab is an open-source, digital platform designed to support teaching and learning at City Tech (New York City College of Technology), and to promote student and faculty engagement in the intellectual and social life of the college community.

Support

Help | Contact Us | Privacy Policy | Terms of Use | Credits

Accessibility

Our goal is to make the OpenLab accessible for all users.

Learn more about accessibility on the OpenLab

Copyright

Creative Commons

  • - Attribution
  • - NonCommercial
  • - ShareAlike
Creative Commons