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MATH / What is the angle of rotation in degrees about point C that maps the darker figure to the lighter image? [asy] import olympiad; defaultpen(linewidth(0.7)); draw((4,-1)--(4,1)--(-4,…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

What is the angle of rotation in degrees about point CC that maps the darker figure to the lighter image? [asy] import olympiad; defaultpen(linewidth(0.7)); draw((4,-1)--(4,1)--(-4,1)--(-4,3)--(-6,0)--(-4,-3)--(-4,-1)--(4,-1)--cycle,linewidth(2)); draw((-4,1)--(-4,3)--(4,3)--(4,5)--(6,2)--(4,-1)--(4,1)--(-4,1)--cycle); dot("CC",(0,1),N); [/asy]
Plain-text mathematical notation (without MathML)
What is the angle of rotation in degrees about point C that maps the darker figure to the lighter image? [asy]
import olympiad; defaultpen(linewidth(0.7));
draw((4,-1)--(4,1)--(-4,1)--(-4,3)--(-6,0)--(-4,-3)--(-4,-1)--(4,-1)--cycle,linewidth(2));
draw((-4,1)--(-4,3)--(4,3)--(4,5)--(6,2)--(4,-1)--(4,1)--(-4,1)--cycle);
dot("C",(0,1),N);
[/asy]
Original LaTeX notation
What is the angle of rotation in degrees about point $C$ that maps the darker figure to the lighter image? [asy]
import olympiad; defaultpen(linewidth(0.7));
draw((4,-1)--(4,1)--(-4,1)--(-4,3)--(-6,0)--(-4,-3)--(-4,-1)--(4,-1)--cycle,linewidth(2));
draw((-4,1)--(-4,3)--(4,3)--(4,5)--(6,2)--(4,-1)--(4,1)--(-4,1)--cycle);
dot("$C$",(0,1),N);
[/asy]

level

Level 1

type

Geometry

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Source and history

task_id
d153ccae-2cb4-57e6-98fc-1d1d46c56fd9
task_key
geometry--test--d153ccae-2cb4-57e6-98fc-1d1d46c56fd9
task_revision_id
1
config / split
geometry / test

Official source

initial import