diff --git a/crates/a11y/src/headings.rs b/crates/a11y/src/headings.rs
--- a/crates/a11y/src/headings.rs
+++ b/crates/a11y/src/headings.rs
@@ -188,7 +188,10 @@ pub(crate) fn mcid_texts(doc: &Document, page: &Dict) -> HashMap<i64, String> {
     // Where each id's last glyph ended, in user space.
     let mut ends: HashMap<i64, (f64, f64)> = HashMap::new();
     let mut gs = TextState::default();
-    let mut saved: Vec<TextState> = Vec::new();
+    // With each saved state, the text and text line matrices: inside a text object `q`/`Q`
+    // save and restore them too (ISO 32000-2 §9.4.1, as corrected by the PDF Association's
+    // errata, issue 368), as the renderer does.
+    let mut saved: Vec<(TextState, Matrix, Matrix)> = Vec::new();
     let mut unsaved = 0usize;
     let (mut tm, mut tlm) = (Matrix::IDENTITY, Matrix::IDENTITY);
     for op in pdfcraft_content::parse(&page_content(doc, page)).ops {
@@ -209,12 +212,12 @@ pub(crate) fn mcid_texts(doc: &Document, page: &Dict) -> HashMap<i64, String> {
             b"EMC" => {
                 stack.pop();
             }
-            b"q" if saved.len() < MAX_SAVED => saved.push(gs.clone()),
+            b"q" if saved.len() < MAX_SAVED => saved.push((gs.clone(), tm, tlm)),
             b"q" => unsaved += 1,
             b"Q" if unsaved > 0 => unsaved -= 1,
             b"Q" => {
                 if let Some(saved) = saved.pop() {
-                    gs = saved;
+                    (gs, tm, tlm) = saved;
                 }
             }
             b"cm" => {
diff --git a/crates/a11y/src/tests.rs b/crates/a11y/src/tests.rs
--- a/crates/a11y/src/tests.rs
+++ b/crates/a11y/src/tests.rs
@@ -1235,6 +1235,19 @@ fn headings_drawn_glyph_by_glyph_keep_their_words() {
     );
 }
 
+/// Inside a text object `q`/`Q` save and restore the text matrices (ISO 32000-2 §9.4.1, as
+/// corrected by the PDF Association's errata, issue 368), as the renderer does: a word whose
+/// glyphs continue after a `Q` stays one word.
+#[test]
+fn q_inside_a_text_object_restores_the_text_matrices() {
+    let doc = heading_page(&[
+        "BT /F1 20 Tf 72 700 Td (Chap) Tj q 0 -100 Td Q (ter One) Tj ET".into(),
+        "BT /F1 20 Tf 72 650 Td (Chap) Tj q 1 0 0 1 300 300 Tm Q (ter Two) Tj ET".into(),
+    ]);
+    let titles: Vec<String> = headings(&doc).into_iter().map(|h| h.title).collect();
+    assert_eq!(titles, ["Chapter One", "Chapter Two"]);
+}
+
 #[test]
 fn an_untagged_document_has_no_headings() {
     let mut objs = headings_doc();
diff --git a/crates/edit/src/tests.rs b/crates/edit/src/tests.rs
--- a/crates/edit/src/tests.rs
+++ b/crates/edit/src/tests.rs
@@ -7457,3 +7457,24 @@ fn a_run_of_spaces_in_a_subset_without_a_space_glyph_keeps_its_width() {
     let content = String::from_utf8_lossy(&page_content_bytes(&reopen(&doc), 0)).into_owned();
     assert_eq!(content.matches("[-330] TJ").count(), 5, "{content}");
 }
+
+/// Inside a text object `q`/`Q` save and restore the text and text line matrices (ISO 32000-2
+/// §9.4.1, as corrected by the PDF Association's errata, issue 368), as the renderer does: the
+/// text after `Q` is found, and stays, where it is drawn.
+#[test]
+fn q_inside_a_text_object_restores_the_text_matrices() {
+    for (content, text, baseline) in [
+        ("BT /F1 12 Tf 72 700 Td q 0 -100 Td Q (After) Tj ET", "After", [72.0, 700.0]),
+        ("BT /F1 12 Tf 72 700 Td q 1 0 0 1 300 300 Tm Q (After) Tj ET", "After", [72.0, 700.0]),
+        // `T*` moves from the restored line, not the one set inside q/Q.
+        ("BT /F1 12 Tf 14 TL 72 700 Td q 0 -100 Td Q T* (Next) Tj ET", "Next", [72.0, 686.0]),
+    ] {
+        let mut doc = text_page(content);
+        let lines = text::text_lines(&doc, 0).unwrap();
+        assert_eq!((lines[0].text.as_str(), lines[0].baseline()), (text, baseline), "{content}");
+        text::replace_line(&mut doc, 0, 0, "Edited").unwrap();
+        let doc = reopen(&doc);
+        let lines = text::text_lines(&doc, 0).unwrap();
+        assert_eq!((lines[0].text.as_str(), lines[0].baseline()), ("Edited", baseline), "{content} after editing");
+    }
+}
diff --git a/crates/edit/src/text/interp.rs b/crates/edit/src/text/interp.rs
--- a/crates/edit/src/text/interp.rs
+++ b/crates/edit/src/text/interp.rs
@@ -425,7 +425,10 @@ fn positioned_tracking(shown: &mut [Shown]) {
 /// stream), an unbalanced `q`, the font and the colour still apply in the streams after it.
 pub(super) struct Carry {
     pub(super) ts: Ts,
-    pub(super) stack: Vec<Ts>,
+    /// Each saved state with the text and text line matrices: inside a text object `q`/`Q`
+    /// save and restore them too (ISO 32000-2 §9.4.1, as corrected by the PDF Association's
+    /// errata, issue 368), as the renderer does.
+    pub(super) stack: Vec<(Ts, Matrix, Matrix)>,
     pub(super) marked: Vec<Option<usize>>,
     /// For each open marked-content sequence, its optional content group when it is `/OC`.
     pub(super) layers: Vec<Option<Vec<u8>>>,
@@ -487,7 +490,7 @@ pub(super) fn interpret(
     let mut out: Vec<Shown> = Vec::new();
     let mut ts = carry.ts.clone();
     let mut at_bt = (0usize, ts.clone());
-    let mut stack: Vec<Ts> = std::mem::take(&mut carry.stack);
+    let mut stack: Vec<(Ts, Matrix, Matrix)> = std::mem::take(&mut carry.stack);
     let (mut tm, mut tlm) = (Matrix::IDENTITY, Matrix::IDENTITY);
     let mut bt = 0usize;
     let mut marked = std::mem::take(&mut carry.marked);
@@ -551,10 +554,10 @@ pub(super) fn interpret(
                     }
                 }
             }
-            b"q" => stack.push(ts.clone()),
+            b"q" => stack.push((ts.clone(), tm, tlm)),
             b"Q" => {
-                if let Some(s) = stack.pop() {
-                    ts = s;
+                if let Some(saved) = stack.pop() {
+                    (ts, tm, tlm) = saved;
                 }
             }
             b"cm" => {