diff --git a/pkgs/plot-pkgs/plot-lib/plot/private/plot2d/interval.rkt b/pkgs/plot-pkgs/plot-lib/plot/private/plot2d/interval.rkt
index 590b41cd80..0e217a2066 100644
--- a/pkgs/plot-pkgs/plot-lib/plot/private/plot2d/interval.rkt
+++ b/pkgs/plot-pkgs/plot-lib/plot/private/plot2d/interval.rkt
@@ -35,8 +35,8 @@
         [else  empty]))
 
 (defproc (lines-interval
-          [v1s (sequence/c (sequence/c real?))]
-          [v2s (sequence/c (sequence/c real?))]
+          [v1s (sequence/c (sequence/c #:min-count 2 real?))]
+          [v2s (sequence/c (sequence/c #:min-count 2 real?))]
           [#:x-min x-min (or/c rational? #f) #f] [#:x-max x-max (or/c rational? #f) #f]
           [#:y-min y-min (or/c rational? #f) #f] [#:y-max y-max (or/c rational? #f) #f]
           [#:color color plot-color/c (interval-color)]
diff --git a/pkgs/plot-pkgs/plot-lib/plot/private/plot2d/line.rkt b/pkgs/plot-pkgs/plot-lib/plot/private/plot2d/line.rkt
index b6d768d5fc..932c70625d 100644
--- a/pkgs/plot-pkgs/plot-lib/plot/private/plot2d/line.rkt
+++ b/pkgs/plot-pkgs/plot-lib/plot/private/plot2d/line.rkt
@@ -22,7 +22,7 @@
   (cond [label  (line-legend-entry label color width style)]
         [else   empty]))
 
-(defproc (lines [vs  (sequence/c (sequence/c real?))]
+(defproc (lines [vs  (sequence/c (sequence/c #:min-count 2 real?))]
                 [#:x-min x-min (or/c rational? #f) #f] [#:x-max x-max (or/c rational? #f) #f]
                 [#:y-min y-min (or/c rational? #f) #f] [#:y-max y-max (or/c rational? #f) #f]
                 [#:color color plot-color/c (line-color)]
diff --git a/pkgs/plot-pkgs/plot-lib/plot/private/plot2d/point.rkt b/pkgs/plot-pkgs/plot-lib/plot/private/plot2d/point.rkt
index 2db80ac1ce..715ed961ba 100644
--- a/pkgs/plot-pkgs/plot-lib/plot/private/plot2d/point.rkt
+++ b/pkgs/plot-pkgs/plot-lib/plot/private/plot2d/point.rkt
@@ -21,7 +21,7 @@
   
   (if label (point-legend-entry label sym color fill-color size line-width) empty))
 
-(defproc (points [vs  (sequence/c (sequence/c real?))]
+(defproc (points [vs  (sequence/c (sequence/c #:min-count 2 real?))]
                  [#:x-min x-min (or/c rational? #f) #f] [#:x-max x-max (or/c rational? #f) #f]
                  [#:y-min y-min (or/c rational? #f) #f] [#:y-max y-max (or/c rational? #f) #f]
                  [#:sym sym point-sym/c (point-sym)]
@@ -131,7 +131,7 @@
   empty)
 
 (defproc (error-bars
-          [bars (sequence/c (sequence/c real?))]
+          [bars (sequence/c (sequence/c #:min-count 3 real?))]
           [#:x-min x-min (or/c rational? #f) #f] [#:x-max x-max (or/c rational? #f) #f]
           [#:y-min y-min (or/c rational? #f) #f] [#:y-max y-max (or/c rational? #f) #f]
           [#:color color plot-color/c (error-bar-color)]
diff --git a/pkgs/plot-pkgs/plot-lib/plot/private/plot2d/rectangle.rkt b/pkgs/plot-pkgs/plot-lib/plot/private/plot2d/rectangle.rkt
index 0db9d9ed56..7ae3e7a8e2 100644
--- a/pkgs/plot-pkgs/plot-lib/plot/private/plot2d/rectangle.rkt
+++ b/pkgs/plot-pkgs/plot-lib/plot/private/plot2d/rectangle.rkt
@@ -25,7 +25,7 @@
         [else  empty]))
 
 (defproc (rectangles
-          [rects  (sequence/c (sequence/c ivl?))]
+          [rects  (sequence/c (sequence/c #:min-count 2 ivl?))]
           [#:x-min x-min (or/c rational? #f) #f] [#:x-max x-max (or/c rational? #f) #f]
           [#:y-min y-min (or/c rational? #f) #f] [#:y-max y-max (or/c rational? #f) #f]
           [#:color color plot-color/c (rectangle-color)]
diff --git a/pkgs/plot-pkgs/plot-lib/plot/private/plot3d/line.rkt b/pkgs/plot-pkgs/plot-lib/plot/private/plot3d/line.rkt
index 79518fe563..f8937c2307 100644
--- a/pkgs/plot-pkgs/plot-lib/plot/private/plot3d/line.rkt
+++ b/pkgs/plot-pkgs/plot-lib/plot/private/plot3d/line.rkt
@@ -35,7 +35,7 @@
                        (lines3d-render-proc vs-thnk color width style alpha label)))]))
 
 (defproc (lines3d
-          [vs  (sequence/c (sequence/c real?))]
+          [vs  (sequence/c (sequence/c #:min-count 3 real?))]
           [#:x-min x-min (or/c rational? #f) #f] [#:x-max x-max (or/c rational? #f) #f]
           [#:y-min y-min (or/c rational? #f) #f] [#:y-max y-max (or/c rational? #f) #f]
           [#:z-min z-min (or/c rational? #f) #f] [#:z-max z-max (or/c rational? #f) #f]
diff --git a/pkgs/plot-pkgs/plot-lib/plot/private/plot3d/point.rkt b/pkgs/plot-pkgs/plot-lib/plot/private/plot3d/point.rkt
index 5c28bb9288..07ed26af19 100644
--- a/pkgs/plot-pkgs/plot-lib/plot/private/plot3d/point.rkt
+++ b/pkgs/plot-pkgs/plot-lib/plot/private/plot3d/point.rkt
@@ -20,7 +20,7 @@
         [else   empty]))
 
 (defproc (points3d
-          [vs  (sequence/c (sequence/c real?))]
+          [vs  (sequence/c (sequence/c #:min-count 3 real?))]
           [#:x-min x-min (or/c rational? #f) #f] [#:x-max x-max (or/c rational? #f) #f]
           [#:y-min y-min (or/c rational? #f) #f] [#:y-max y-max (or/c rational? #f) #f]
           [#:z-min z-min (or/c rational? #f) #f] [#:z-max z-max (or/c rational? #f) #f]
diff --git a/pkgs/plot-pkgs/plot-lib/plot/private/plot3d/rectangle.rkt b/pkgs/plot-pkgs/plot-lib/plot/private/plot3d/rectangle.rkt
index e6dec83e6b..265c442bd0 100644
--- a/pkgs/plot-pkgs/plot-lib/plot/private/plot3d/rectangle.rkt
+++ b/pkgs/plot-pkgs/plot-lib/plot/private/plot3d/rectangle.rkt
@@ -25,7 +25,7 @@
         [else  empty]))
 
 (defproc (rectangles3d
-          [rects  (sequence/c (sequence/c ivl?))]
+          [rects  (sequence/c (sequence/c #:min-count 3 ivl?))]
           [#:x-min x-min (or/c rational? #f) #f] [#:x-max x-max (or/c rational? #f) #f]
           [#:y-min y-min (or/c rational? #f) #f] [#:y-max y-max (or/c rational? #f) #f]
           [#:z-min z-min (or/c rational? #f) #f] [#:z-max z-max (or/c rational? #f) #f]
diff --git a/pkgs/plot-pkgs/plot-test/plot/tests/termination-tests.rkt b/pkgs/plot-pkgs/plot-test/plot/tests/PRs/13620.rkt
similarity index 100%
rename from pkgs/plot-pkgs/plot-test/plot/tests/termination-tests.rkt
rename to pkgs/plot-pkgs/plot-test/plot/tests/PRs/13620.rkt
diff --git a/pkgs/plot-pkgs/plot-test/plot/tests/PRs/13709.rkt b/pkgs/plot-pkgs/plot-test/plot/tests/PRs/13709.rkt
new file mode 100644
index 0000000000..c8869e0071
--- /dev/null
+++ b/pkgs/plot-pkgs/plot-test/plot/tests/PRs/13709.rkt
@@ -0,0 +1,19 @@
+#lang racket
+
+(require plot rackunit)
+
+(check-exn #rx"'\\(1\\)" (λ () (lines '((1)))))
+(check-exn #rx"\\(list \\(ivl 1 2\\)\\)" (λ () (rectangles (list (list (ivl 1 2))))))
+(check-exn #rx"'\\(1\\)" (λ () (points '((1)))))
+(check-exn #rx"'\\(1\\)" (λ () (error-bars '((1)))))
+(check-exn #rx"'\\(1 2\\)" (λ () (error-bars '((1 2)))))
+(check-exn #rx"'\\(1\\)" (λ () (lines-interval '((1)) '((1 2)))))
+(check-exn #rx"'\\(1\\)" (λ () (lines-interval '((1 2)) '((1)))))
+
+(check-exn #rx"'\\(1\\)" (λ () (lines3d '((1)))))
+(check-exn #rx"'\\(1 2\\)" (λ () (lines3d '((1 2)))))
+(check-exn #rx"\\(list \\(ivl 1 2\\)\\)" (λ () (rectangles3d (list (list (ivl 1 2))))))
+(check-exn #rx"\\(list \\(ivl 1 2\\) \\(ivl 2 3\\)\\)" (λ () (rectangles3d
+                                                              (list (list (ivl 1 2) (ivl 2 3))))))
+(check-exn #rx"'\\(1\\)" (λ () (points3d '((1)))))
+(check-exn #rx"'\\(1 2\\)" (λ () (points3d '((1 2)))))