MSRX StoryQuest

Geometry, Shape & Symmetry

Angles, triangles, and the transformations that leave a shape itself.

M059Explorer

Interior angles

∑θ=180∘\sum\theta = 180^\circ

a roof truss being cut on site with one angle unmarked

Angle lockEnter mission M060Explorer

Triangle properties

a2+b2=c2a^2 + b^2 = c^2

a radio mast held by a guy wire on a rocky slope

Right-triangle rigEnter mission M061Explorer

Pythagorean paths

d2=x2+y2d^2 = x^2 + y^2

a supply run cutting diagonally across a flooded grid of streets

Right-triangle rigEnter mission M064Explorer

Transformations

(x,y)→(x+a,y+b)(x, y) \rightarrow (x + a, y + b)

a survey dataset logged against the wrong origin marker

Number lineEnter mission M065Explorer

Symmetry

x′=2a−xx' = 2a - x

a stage lighting rig being mirrored to the opposite wing

Reflection deckEnter mission M093Explorer

Angles in a triangle

α+β+γ=180°\alpha + \beta + \gamma = 180°

a roof truss being set out on the workshop floor

Angle lockEnter mission M096Challenge

Ladder against a wall

a2+b2=c2a^2 + b^2 = c^2

a painter setting a ladder to a safe angle against a wall

Right-triangle rigEnter mission M101Foundation

Lines of symmetry

a rangoli being completed from one half of a drawn pattern

Reflection deckEnter mission