diff --git a/examples/tablet.c b/examples/tablet.c
index 65c559cb..9379fac3 100644
--- a/examples/tablet.c
+++ b/examples/tablet.c
@@ -49,7 +49,6 @@ static void handle_output_frame(struct output_state *output, struct timespec *ts
 	wlr_renderer_begin(sample->renderer, wlr_output->width, wlr_output->height);
 	wlr_renderer_clear(sample->renderer, (float[]){0.25f, 0.25f, 0.25f, 1});
 
-	float matrix[9];
 	float distance = 0.8f * (1 - sample->distance);
 	float tool_color[4] = { distance, distance, distance, 1 };
 	for (size_t i = 0; sample->button && i < 4; ++i) {
@@ -61,12 +60,12 @@ static void handle_output_frame(struct output_state *output, struct timespec *ts
 	float pad_height = sample->height_mm * scale;
 	float left = width / 2.0f - pad_width / 2.0f;
 	float top = height / 2.0f - pad_height / 2.0f;
-	struct wlr_box box = {
+	const struct wlr_box box = {
 		.x = left, .y = top,
 		.width = pad_width, .height = pad_height,
 	};
-	wlr_matrix_project_box(matrix, &box, 0, 0, wlr_output->transform_matrix);
-	wlr_render_colored_quad(sample->renderer, sample->pad_color, matrix);
+	wlr_render_rect(sample->renderer, &box, sample->pad_color,
+		wlr_output->transform_matrix);
 
 	if (sample->proximity) {
 		struct wlr_box box = {
@@ -75,16 +74,17 @@ static void handle_output_frame(struct output_state *output, struct timespec *ts
 			.width = 16 * (sample->pressure + 1),
 			.height = 16 * (sample->pressure + 1),
 		};
-		wlr_matrix_project_box(matrix, &box, 0, sample->ring,
-			wlr_output->transform_matrix);
-		wlr_render_colored_quad(sample->renderer, tool_color, matrix);
+		float matrix[9];
+		wlr_matrix_project_box(matrix, &box, WL_OUTPUT_TRANSFORM_NORMAL,
+			sample->ring, wlr_output->transform_matrix);
+		wlr_render_quad_with_matrix(sample->renderer, tool_color, matrix);
+
 		box.x += sample->x_tilt;
 		box.y += sample->y_tilt;
 		box.width /= 2;
 		box.height /= 2;
-		wlr_matrix_project_box(matrix, &box, 0, 0,
+		wlr_render_rect(sample->renderer, &box, tool_color,
 			wlr_output->transform_matrix);
-		wlr_render_colored_quad(sample->renderer, tool_color, matrix);
 	}
 
 	wlr_renderer_end(sample->renderer);
diff --git a/include/wlr/render/interface.h b/include/wlr/render/interface.h
index 7f25c0ff..d4cd35f8 100644
--- a/include/wlr/render/interface.h
+++ b/include/wlr/render/interface.h
@@ -27,9 +27,9 @@ struct wlr_renderer_impl {
 	bool (*render_texture_with_matrix)(struct wlr_renderer *renderer,
 		struct wlr_texture *texture, const float matrix[static 9],
 		float alpha);
-	void (*render_quad)(struct wlr_renderer *renderer,
+	void (*render_quad_with_matrix)(struct wlr_renderer *renderer,
 		const float color[static 4], const float matrix[static 9]);
-	void (*render_ellipse)(struct wlr_renderer *renderer,
+	void (*render_ellipse_with_matrix)(struct wlr_renderer *renderer,
 		const float color[static 4], const float matrix[static 9]);
 	const enum wl_shm_format *(*formats)(
 		struct wlr_renderer *renderer, size_t *len);
diff --git a/include/wlr/render/wlr_renderer.h b/include/wlr/render/wlr_renderer.h
index 6f0d2ecc..5c78089e 100644
--- a/include/wlr/render/wlr_renderer.h
+++ b/include/wlr/render/wlr_renderer.h
@@ -36,14 +36,24 @@ bool wlr_render_texture(struct wlr_renderer *r, struct wlr_texture *texture,
 bool wlr_render_texture_with_matrix(struct wlr_renderer *r,
 	struct wlr_texture *texture, const float matrix[static 9], float alpha);
 /**
- * Renders a solid quad in the specified color.
+ * Renders a solid rectangle in the specified color.
  */
-void wlr_render_colored_quad(struct wlr_renderer *r,
+void wlr_render_rect(struct wlr_renderer *r, const struct wlr_box *box,
+	const float color[static 4], const float projection[static 9]);
+/**
+ * Renders a solid quadrangle in the specified color with the specified matrix.
+ */
+void wlr_render_quad_with_matrix(struct wlr_renderer *r,
 	const float color[static 4], const float matrix[static 9]);
 /**
  * Renders a solid ellipse in the specified color.
  */
-void wlr_render_colored_ellipse(struct wlr_renderer *r,
+void wlr_render_ellipse(struct wlr_renderer *r, const struct wlr_box *box,
+	const float color[static 4], const float projection[static 9]);
+/**
+ * Renders a solid ellipse in the specified color with the specified matrix.
+ */
+void wlr_render_ellipse_with_matrix(struct wlr_renderer *r,
 	const float color[static 4], const float matrix[static 9]);
 /**
  * Returns a list of pixel formats supported by this renderer.
diff --git a/render/gles2/renderer.c b/render/gles2/renderer.c
index 9403c0ed..61665a07 100644
--- a/render/gles2/renderer.c
+++ b/render/gles2/renderer.c
@@ -144,7 +144,7 @@ static bool gles2_render_texture_with_matrix(
 }
 
 
-static void gles2_render_quad(struct wlr_renderer *wlr_renderer,
+static void gles2_render_quad_with_matrix(struct wlr_renderer *wlr_renderer,
 		const float color[static 4], const float matrix[static 9]) {
 	struct wlr_gles2_renderer *renderer = gles2_get_renderer(wlr_renderer);
 
@@ -161,7 +161,7 @@ static void gles2_render_quad(struct wlr_renderer *wlr_renderer,
 	GLES2_DEBUG_POP;
 }
 
-static void gles2_render_ellipse(struct wlr_renderer *wlr_renderer,
+static void gles2_render_ellipse_with_matrix(struct wlr_renderer *wlr_renderer,
 		const float color[static 4], const float matrix[static 9]) {
 	struct wlr_gles2_renderer *renderer = gles2_get_renderer(wlr_renderer);
 
@@ -256,8 +256,8 @@ static const struct wlr_renderer_impl renderer_impl = {
 	.scissor = gles2_scissor,
 	.texture_create = gles2_renderer_texture_create,
 	.render_texture_with_matrix = gles2_render_texture_with_matrix,
-	.render_quad = gles2_render_quad,
-	.render_ellipse = gles2_render_ellipse,
+	.render_quad_with_matrix = gles2_render_quad_with_matrix,
+	.render_ellipse_with_matrix = gles2_render_ellipse_with_matrix,
 	.formats = gles2_renderer_formats,
 	.buffer_is_drm = gles2_buffer_is_drm,
 	.read_pixels = gles2_read_pixels,
diff --git a/render/wlr_renderer.c b/render/wlr_renderer.c
index 622aa1dd..5598a0e7 100644
--- a/render/wlr_renderer.c
+++ b/render/wlr_renderer.c
@@ -39,13 +39,16 @@ struct wlr_texture *wlr_render_texture_create(struct wlr_renderer *r) {
 
 bool wlr_render_texture(struct wlr_renderer *r, struct wlr_texture *texture,
 		const float projection[static 9], int x, int y, float alpha) {
-	float mat[9];
-	wlr_matrix_identity(mat);
-	wlr_matrix_translate(mat, x, y);
-	wlr_matrix_scale(mat, texture->width, texture->height);
-	wlr_matrix_multiply(mat, projection, mat);
+	const struct wlr_box box = {
+		.x = x, .y = y,
+		.width = texture->width, .height = texture->height,
+	};
 
-	return wlr_render_texture_with_matrix(r, texture, mat, alpha);
+	float matrix[9];
+	wlr_matrix_project_box(matrix, &box, WL_OUTPUT_TRANSFORM_NORMAL, 0,
+		projection);
+
+	return wlr_render_texture_with_matrix(r, texture, matrix, alpha);
 }
 
 bool wlr_render_texture_with_matrix(struct wlr_renderer *r,
@@ -54,14 +57,32 @@ bool wlr_render_texture_with_matrix(struct wlr_renderer *r,
 	return r->impl->render_texture_with_matrix(r, texture, matrix, alpha);
 }
 
-void wlr_render_colored_quad(struct wlr_renderer *r,
-		const float color[static 4], const float matrix[static 9]) {
-	r->impl->render_quad(r, color, matrix);
+void wlr_render_rect(struct wlr_renderer *r, const struct wlr_box *box,
+		const float color[static 4], const float projection[static 9]) {
+	float matrix[9];
+	wlr_matrix_project_box(matrix, box, WL_OUTPUT_TRANSFORM_NORMAL, 0,
+		projection);
+
+	wlr_render_quad_with_matrix(r, color, matrix);
 }
 
-void wlr_render_colored_ellipse(struct wlr_renderer *r,
+void wlr_render_quad_with_matrix(struct wlr_renderer *r,
 		const float color[static 4], const float matrix[static 9]) {
-	r->impl->render_ellipse(r, color, matrix);
+	r->impl->render_quad_with_matrix(r, color, matrix);
+}
+
+void wlr_render_ellipse(struct wlr_renderer *r, const struct wlr_box *box,
+		const float color[static 4], const float projection[static 9]) {
+	float matrix[9];
+	wlr_matrix_project_box(matrix, box, WL_OUTPUT_TRANSFORM_NORMAL, 0,
+		projection);
+
+	wlr_render_ellipse_with_matrix(r, color, matrix);
+}
+
+void wlr_render_ellipse_with_matrix(struct wlr_renderer *r,
+		const float color[static 4], const float matrix[static 9]) {
+	r->impl->render_ellipse_with_matrix(r, color, matrix);
 }
 
 const enum wl_shm_format *wlr_renderer_get_formats(
diff --git a/rootston/output.c b/rootston/output.c
index 1284c928..c75935af 100644
--- a/rootston/output.c
+++ b/rootston/output.c
@@ -363,7 +363,7 @@ static void render_decorations(struct roots_view *view,
 		pixman_region32_rectangles(&damage, &nrects);
 	for (int i = 0; i < nrects; ++i) {
 		scissor_output(output, &rects[i]);
-		wlr_render_colored_quad(renderer, color, matrix);
+		wlr_render_quad_with_matrix(renderer, color, matrix);
 	}
 
 damage_finish: