## Can You Solve This Pier Puzzle? | Physics Girl

Classroom Resource Information

Title:

Can You Solve This Pier Puzzle? | Physics Girl

URL:

https://aptv.pbslearningmedia.org/resource/pier-puzzle-physics-girl/pier-puzzle-physics-girl/

Content Source:

PBS
Type: Audio/Video

Overview:

This math brainteaser challenges you to find a simple, elegant solution to a seemingly complex problem! Students will use geometry principles and their knowledge about triangles to solve this puzzle. Can you figure it out?

Content Standard(s):
 Mathematics MA2015 (2016) Grade: 9-12 Geometry 10 ) Prove theorems about triangles. Theorems include measures of interior angles of a triangle sum to 180o, base angles of isosceles triangles are congruent, the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length, and the medians of a triangle meet at a point. [G-CO10] Alabama Alternate Achievement Standards AAS Standard: M.G.AAS.HS.10- Given a measure of a leg or base angle of an isosceles triangle, identify the measure of the other leg or other base angle. Mathematics MA2015 (2016) Grade: 9-12 Geometry 16 ) Use the properties of similarity transformations to establish the angle-angle (AA) criterion for two triangles to be similar. [G-SRT3] Mathematics MA2015 (2016) Grade: 9-12 Geometry 17 ) Prove theorems about triangles. Theorems include a line parallel to one side of a triangle divides the other two proportionally, and conversely; and the Pythagorean Theorem proved using triangle similarity. [G-SRT4] Mathematics MA2019 (2019) Grade: 9-12 Geometry with Data Analysis 32. Use coordinates to prove simple geometric theorems algebraically. Alabama Alternate Achievement Standards AAS Standard: M.G.AAS.10.31a When given an isosceles triangle and a measure of a leg or base angle, identify the measure of the other leg or base angle. M.G.AAS.10.31b When given a parallelogram and the measure of one side or one angle, identify the measure of the opposite side or angle. Mathematics MA2019 (2019) Grade: 9-12 Geometry with Data Analysis 34. Use congruence and similarity criteria for triangles to solve problems in real-world contexts. Alabama Alternate Achievement Standards AAS Standard: M.G.AAS.10.36 Use geometric shapes to describe real-world objects.
Tags: algebra, congruence, coordinates, geometric theorems, geometry, similarity, theorems, transformations, triangles