diff --git a/CHANGES.md b/CHANGES.md
index 7fc69644..e0267d08 100644
--- a/CHANGES.md
+++ b/CHANGES.md
@@ -4,6 +4,8 @@ CeTZ 0.3.0 requires Typst 0.11.0
 
 ## Canvas
 - Transformation matrices are now rounded
+- The default coordinate system changed to a right-hand side system.
+  Use `scale(z: -1)` if you want to change back to a left-hand system.
 
 ## Plot
 - Added support for automatically adding axis breaks (sawtooth lines) by setting the `break`
diff --git a/src/canvas.typ b/src/canvas.typ
index fc4e7941..d587c279 100644
--- a/src/canvas.typ
+++ b/src/canvas.typ
@@ -11,10 +11,10 @@
 /// Sets up a canvas for drawing on.
 ///
 /// The default transformation matrix of the canvas is set to:
-/// $mat(1,0,0.5,0;
-///      0,-1,-0.5,0;
-///      0,0,0,0;
-///      0,0,0,1)$
+/// $mat(1, 0,-0.5, 0;
+///      0,-1, 0.5, 0;
+///      0, 0, 0,   0;
+///      0, 0, 0,   1)$
 ///
 /// - length (length,ratio): Used to specify what 1 coordinate unit is. If given a ratio, that ratio is relative to the containing elements width!
 /// - body (none,array,element): A code block in which functions from `draw.typ` have been called.
@@ -45,12 +45,12 @@
     // Previous element position & bbox
     prev: (pt: (0, 0, 0)),
     style: styles.default,
-    // Current transformation matrix, a lhs coordinate system
+    // Current transformation matrix, a rhs coordinate system
     // where z is sheared by a half x and y.
-    //   +x = right, +y = up, +z = 1/2 (right + up)
+    //   +x = right, +y = up, +z = 1/2 (left + down)
     transform:
-      ((1, 0,+.5, 0),
-       (0,-1,-.5, 0),
+      ((1, 0,-.5, 0),
+       (0,-1,+.5, 0),
        (0, 0, .0, 0),
        (0, 0, .0, 1)),
     // Nodes, stores anchors and paths
diff --git a/tests/arc/arc-through/ref/1.png b/tests/arc/arc-through/ref/1.png
index e8397837..64db0f87 100644
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diff --git a/tests/arc/ref/1.png b/tests/arc/ref/1.png
index 382eb64d..10dcda4c 100644
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diff --git a/tests/content/ref/1.png b/tests/content/ref/1.png
index 460765a2..f0b66782 100644
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diff --git a/tests/content/transform/ref/1.png b/tests/content/transform/ref/1.png
index 444c94a6..b769e4a0 100644
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diff --git a/tests/cube/ref/1.png b/tests/cube/ref/1.png
index b5ef7685..1e593aaf 100644
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diff --git a/tests/decorations/path/ref/1.png b/tests/decorations/path/ref/1.png
index 77c61a2b..4789705f 100644
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diff --git a/tests/projection/default/ref/1.png b/tests/projection/default/ref/1.png
new file mode 100644
index 00000000..1eb21489
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diff --git a/tests/projection/default/test.typ b/tests/projection/default/test.typ
new file mode 100644
index 00000000..37e88876
--- /dev/null
+++ b/tests/projection/default/test.typ
@@ -0,0 +1,23 @@
+#import "/src/lib.typ" as cetz
+#import "/tests/helper.typ": *
+#set page(width: auto, height: auto)
+
+// Positive direction
+#test-case({
+  import cetz.draw: *
+
+  set-style(mark: (transform-shape: false))
+  line((0,0,0), (1,0,0), mark: (end: ">"))
+  line((0,0,0), (0,1,0), mark: (end: ">"))
+  line((0,0,0), (0,0,1), mark: (end: ">"))
+})
+
+// Negative direction
+#test-case({
+  import cetz.draw: *
+
+  set-style(mark: (transform-shape: false))
+  line((0,0,0), (-1,0,0), mark: (end: ">"))
+  line((0,0,0), (0,-1,0), mark: (end: ">"))
+  line((0,0,0), (0,0,-1), mark: (end: ">"))
+})